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117632141376 = 26317161322343
BaseRepresentation
bin110110110001101101…
…1000000100001000000
3102020121222121221002220
41231203123000201000
53411402312011001
6130012305011040
711333014463331
oct1554333004100
9366558557086
10117632141376
1145984305972
121a96a923a80
13b1287732a9
14599ca92288
1530d717cc36
hex1b636c0840

117632141376 has 112 divisors (see below), whose sum is σ = 329762047104. Its totient is φ = 36879671296.

The previous prime is 117632141351. The next prime is 117632141411. The reversal of 117632141376 is 673141236711.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5253661 + ... + 5276003.

It is an arithmetic number, because the mean of its divisors is an integer number (2944303992).

Almost surely, 2117632141376 is an apocalyptic number.

117632141376 is a gapful number since it is divisible by the number (16) 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 117632141376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164881023552).

117632141376 is an abundant number, since it is smaller than the sum of its proper divisors (212129905728).

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

117632141376 is a wasteful number, since it uses less digits than its factorization.

117632141376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23988 (or 23978 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The spelling of 117632141376 in words is "one hundred seventeen billion, six hundred thirty-two million, one hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1613 1632 3226 3264 4839 6452 9678 12904 19356 22343 25808 27421 38712 44686 51616 54842 67029 77424 82263 89372 103232 109684 134058 154848 164526 178744 219368 268116 309696 329052 357488 379831 438736 536232 658104 714976 759662 877472 1072464 1139493 1316208 1429952 1519324 1754944 2144928 2278986 2632416 3038648 4289856 4557972 5264832 6077296 9115944 12154592 18231888 24309184 36039259 36463776 72078518 72927552 108117777 144157036 216235554 288314072 432471108 576628144 612667403 864942216 1153256288 1225334806 1729884432 1838002209 2306512576 2450669612 3459768864 3676004418 4901339224 6919537728 7352008836 9802678448 14704017672 19605356896 29408035344 39210713792 58816070688 117632141376