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116543591815968 = 25321932176620507
BaseRepresentation
bin11010011111111011101011…
…011001000001101100100000
3120021122110101021222201222100
4122133323223121001230200
5110233422234001102333
61051511215330010400
733355665564316032
oct3237735331015440
9507573337881870
10116543591815968
1134152950327629
12110a2b19116a00
135005023a07565
1420aca5057dc52
15d718762ac213
hex69feeb641b20

116543591815968 has 144 divisors (see below), whose sum is σ = 348972537906720. Its totient is φ = 36791793727488.

The previous prime is 116543591815967. The next prime is 116543591816011. The reversal of 116543591815968 is 869518195345611.

116543591815968 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 4 + 359 + 181 + 5 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 116543591815896 and 116543591815905.

It is not an unprimeable number, because it can be changed into a prime (116543591815967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14293171 + ... + 20913677.

It is an arithmetic number, because the mean of its divisors is an integer number (2423420402130).

Almost surely, 2116543591815968 is an apocalyptic number.

116543591815968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116543591815968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174486268953360).

116543591815968 is an abundant number, since it is smaller than the sum of its proper divisors (232428946090752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116543591815968 is a wasteful number, since it uses less digits than its factorization.

116543591815968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6623759 (or 6623748 counting only the distinct ones).

The product of its digits is 279936000, while the sum is 72.

The spelling of 116543591815968 in words is "one hundred sixteen trillion, five hundred forty-three billion, five hundred ninety-one million, eight hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 3217 5472 6434 9651 12868 19302 25736 28953 38604 51472 57906 61123 77208 102944 115812 122246 154416 183369 231624 244492 308832 366738 463248 488984 550107 733476 926496 977968 1100214 1466952 1955936 2200428 2933904 4400856 5867808 6620507 8801712 13241014 17603424 19861521 26482028 39723042 52964056 59584563 79446084 105928112 119169126 125789633 158892168 211856224 238338252 251579266 317784336 377368899 476676504 503158532 635568672 754737798 953353008 1006317064 1132106697 1509475596 1906706016 2012634128 2264213394 3018951192 4025268256 4528426788 6037902384 9056853576 12075804768 18113707152 21298171019 36227414304 42596342038 63894513057 85192684076 127789026114 170385368152 191683539171 255578052228 340770736304 383367078342 404665249361 511156104456 681541472608 766734156684 809330498722 1022312208912 1213995748083 1533468313368 1618660997444 2044624417824 2427991496166 3066936626736 3237321994888 3641987244249 4855982992332 6133873253472 6474643989776 7283974488498 9711965984664 12949287979552 14567948976996 19423931969328 29135897953992 38847863938656 58271795907984 116543591815968