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117611508144 = 243131928335053
BaseRepresentation
bin110110110001000110…
…0010011000110110000
3102020120112210122122010
41231202030103012300
53411332021230034
6130010250442520
711332344216204
oct1554214230660
9366515718563
10117611508144
11459736a2909
121a963a33440
13b1243ca890
14599a040b04
1530d54543e9
hex1b623131b0

117611508144 has 160 divisors (see below), whose sum is σ = 345649265920. Its totient is φ = 34161398784.

The previous prime is 117611508103. The next prime is 117611508151. The reversal of 117611508144 is 441805116711.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3337722 + ... + 3372774.

It is an arithmetic number, because the mean of its divisors is an integer number (2160307912).

Almost surely, 2117611508144 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 117611508144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172824632960).

117611508144 is an abundant number, since it is smaller than the sum of its proper divisors (228037757776).

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

117611508144 is a wasteful number, since it uses less digits than its factorization.

117611508144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35379 (or 35373 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 39.

The spelling of 117611508144 in words is "one hundred seventeen billion, six hundred eleven million, five hundred eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 283 304 312 456 494 566 624 741 849 912 988 1132 1482 1698 1976 2264 2964 3396 3679 3952 4528 5377 5928 6792 7358 10754 11037 11856 13584 14716 16131 21508 22074 29432 32262 35053 43016 44148 58864 64524 69901 70106 86032 88296 105159 129048 139802 140212 176592 209703 210318 258096 279604 280424 419406 420636 455689 559208 560848 666007 838812 841272 911378 1118416 1332014 1367067 1677624 1682544 1822756 1998021 2664028 2734134 3355248 3645512 3996042 5328056 5468268 7291024 7992084 8658091 9919999 10656112 10936536 15984168 17316182 19839998 21873072 25974273 29759997 31968336 34632364 39679996 51948546 59519994 69264728 79359992 103897092 119039988 128959987 138529456 158719984 188479981 207794184 238079976 257919974 376959962 386879961 415588368 476159952 515839948 565439943 753919924 773759922 1031679896 1130879886 1507839848 1547519844 2063359792 2261759772 2450239753 3015679696 3095039688 4523519544 4900479506 6190079376 7350719259 9047039088 9800959012 14701438518 19601918024 29402877036 39203836048 58805754072 117611508144