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116271515330664 = 233194721312545817
BaseRepresentation
bin11010011011111110010010…
…010111100110100001101000
3120020200110002211002020021020
4122123332102113212201220
5110214443030411040124
61051142221410412440
733330224353333251
oct3233762227464150
9506613084066236
10116271515330664
1134058522237201
121105a247291120
134cb5483cc7015
14209d7ddb9bb28
15d697502a7379
hex69bf925e6868

116271515330664 has 128 divisors (see below), whose sum is σ = 312634597017600. Its totient is φ = 35919223441920.

The previous prime is 116271515330627. The next prime is 116271515330669. The reversal of 116271515330664 is 466033515172611.

It is not an unprimeable number, because it can be changed into a prime (116271515330669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44398684 + ... + 46944500.

It is an arithmetic number, because the mean of its divisors is an integer number (2442457789200).

Almost surely, 2116271515330664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116271515330664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156317298508800).

116271515330664 is an abundant number, since it is smaller than the sum of its proper divisors (196363081686936).

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

116271515330664 is a wasteful number, since it uses less digits than its factorization.

116271515330664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548023 (or 2548019 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 116271515330664 in words is "one hundred sixteen trillion, two hundred seventy-one billion, five hundred fifteen million, three hundred thirty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 47 57 76 94 114 141 152 188 228 282 376 456 564 893 1128 1786 2131 2679 3572 4262 5358 6393 7144 8524 10716 12786 17048 21432 25572 40489 51144 80978 100157 121467 161956 200314 242934 300471 323912 400628 485868 600942 801256 971736 1201884 1902983 2403768 2545817 3805966 5091634 5708949 7611932 7637451 10183268 11417898 15223864 15274902 20366536 22835796 30549804 45671592 48370523 61099608 96741046 119653399 145111569 193482092 239306798 290223138 358960197 386964184 478613596 580446276 717920394 957227192 1160892552 1435840788 2273414581 2871681576 4546829162 5425136027 6820243743 9093658324 10850272054 13640487486 16275408081 18187316648 21700544108 27280974972 32550816162 43401088216 54561949944 65101632324 103077584513 130203264648 206155169026 254981393269 309232753539 412310338052 509962786538 618465507078 764944179807 824620676104 1019925573076 1236931014156 1529888359614 2039851146152 2473862028312 3059776719228 4844646472111 6119553438456 9689292944222 14533939416333 19378585888444 29067878832666 38757171776888 58135757665332 116271515330664