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117317612232 = 2332103137115471
BaseRepresentation
bin110110101000010101…
…1001011001011001000
3102012211001210012020100
41231100223023023020
53410231302042412
6125521151325400
711322145151622
oct1552053131310
9365731705210
10117317612232
1145832808527
121a8a1520860
13b0a8559282
14596cdb9c12
1530b974dedc
hex1b50acb2c8

117317612232 has 96 divisors (see below), whose sum is σ = 323164558080. Its totient is φ = 38443196160.

The previous prime is 117317612231. The next prime is 117317612233. The reversal of 117317612232 is 232216713711.

117317612232 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 1 + 7 + 612 + 2 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (117317612231) and next prime (117317612233).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (117317612231) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 958257 + ... + 1073727.

It is an arithmetic number, because the mean of its divisors is an integer number (3366297480).

Almost surely, 2117317612232 is an apocalyptic number.

117317612232 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 117317612232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161582279040).

117317612232 is an abundant number, since it is smaller than the sum of its proper divisors (205846945848).

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

117317612232 is a wasteful number, since it uses less digits than its factorization.

117317612232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115723 (or 115716 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The spelling of 117317612232 in words is "one hundred seventeen billion, three hundred seventeen million, six hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 137 206 274 309 411 412 548 618 822 824 927 1096 1233 1236 1644 1854 2466 2472 3288 3708 4932 7416 9864 14111 28222 42333 56444 84666 112888 115471 126999 169332 230942 253998 338664 346413 461884 507996 692826 923768 1015992 1039239 1385652 2078478 2771304 4156956 8313912 11893513 15819527 23787026 31639054 35680539 47458581 47574052 63278108 71361078 94917162 95148104 107041617 126556216 142375743 142722156 189834324 214083234 284751486 285444312 379668648 428166468 569502972 856332936 1139005944 1629411281 3258822562 4888233843 6517645124 9776467686 13035290248 14664701529 19552935372 29329403058 39105870744 58658806116 117317612232