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117571854432 = 25313116375711
BaseRepresentation
bin110110101111111010…
…1000010000001100000
3102020110210012000222010
41231133311002001200
53411241343320212
6130002312512520
711331353162544
oct1553765020140
9366423160863
10117571854432
114595327944a
121a9526ab740
13b119125846
145994a7ba24
1530d1c2003c
hex1b5fd42060

117571854432 has 96 divisors (see below), whose sum is σ = 311226499584. Its totient is φ = 38860889600.

The previous prime is 117571854427. The next prime is 117571854443. The reversal of 117571854432 is 234458175711.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20584057 + ... + 20589767.

It is an arithmetic number, because the mean of its divisors is an integer number (3241942704).

Almost surely, 2117571854432 is an apocalyptic number.

117571854432 is a gapful number since it is divisible by the number (12) 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 117571854432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155613249792).

117571854432 is an abundant number, since it is smaller than the sum of its proper divisors (193654645152).

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

117571854432 is a wasteful number, since it uses less digits than its factorization.

117571854432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7492 (or 7484 counting only the distinct ones).

The product of its digits is 940800, while the sum is 48.

The spelling of 117571854432 in words is "one hundred seventeen billion, five hundred seventy-one million, eight hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 1637 2096 3144 3274 4192 4911 5711 6288 6548 9822 11422 12576 13096 17133 19644 22844 26192 34266 39288 45688 52384 68532 78576 91376 137064 157152 182752 214447 274128 428894 548256 643341 748141 857788 1286682 1496282 1715576 2244423 2573364 2992564 3431152 4488846 5146728 5985128 6862304 8977692 9348907 10293456 11970256 17955384 18697814 20586912 23940512 28046721 35910768 37395628 56093442 71821536 74791256 112186884 149582512 224373768 299165024 448747536 897495072 1224706817 2449413634 3674120451 4898827268 7348240902 9797654536 14696481804 19595309072 29392963608 39190618144 58785927216 117571854432