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117263527656 = 2331117130719991
BaseRepresentation
bin110110100110101110…
…0110110111011101000
3102012200022000102010220
41231031130312323220
53410123430341111
6125511540210040
711320620352632
oct1551534667350
9365608012126
10117263527656
1145805227a30
121a887399920
13b09a2a0972
145965b3ba52
1530b4b18e06
hex1b4d736ee8

117263527656 has 128 divisors (see below), whose sum is σ = 338897986560. Its totient is φ = 33416883200.

The previous prime is 117263527649. The next prime is 117263527657. The reversal of 117263527656 is 656725362711.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 117263527599 and 117263527608.

It is not an unprimeable number, because it can be changed into a prime (117263527657) 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, 5855821 + ... + 5875811.

It is an arithmetic number, because the mean of its divisors is an integer number (2647640520).

Almost surely, 2117263527656 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 117263527656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169448993280).

117263527656 is an abundant number, since it is smaller than the sum of its proper divisors (221634458904).

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

117263527656 is a wasteful number, since it uses less digits than its factorization.

117263527656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21335 (or 21331 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 51.

The spelling of 117263527656 in words is "one hundred seventeen billion, two hundred sixty-three million, five hundred twenty-seven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1307 1496 2244 2614 3921 4488 5228 7842 10456 14377 15684 19991 22219 28754 31368 39982 43131 44438 57508 59973 66657 79964 86262 88876 115016 119946 133314 159928 172524 177752 219901 239892 244409 266628 339847 345048 439802 479784 488818 533256 659703 679694 733227 879604 977636 1019541 1319406 1359388 1466454 1759208 1955272 2039082 2638812 2718776 2932908 3738317 4078164 5277624 5865816 7476634 8156328 11214951 14953268 22429902 26128237 29906536 44859804 52256474 78384711 89719608 104512948 156769422 209025896 287410607 313538844 444180029 574821214 627077688 862231821 888360058 1149642428 1332540087 1724463642 1776720116 2299284856 2665080174 3448927284 3553440232 4885980319 5330160348 6897854568 9771960638 10660320696 14657940957 19543921276 29315881914 39087842552 58631763828 117263527656