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117929054464 = 281341272
BaseRepresentation
bin110110111010100011…
…1101001000100000000
3102021101200022200021221
41231311013221010000
53413004314220324
6130101552524424
711343251265214
oct1556507510400
9367350280257
10117929054464
1146016971091
121aa32250714
13b175130000
1459ca2a0944
15310327c0e4
hex1b751e9100

117929054464 has 135 divisors (see below), whose sum is σ = 257037004707. Its totient is φ = 54000221184.

The previous prime is 117929054413. The next prime is 117929054497. The reversal of 117929054464 is 464450929711.

It is a happy number.

The square root of 117929054464 is 343408.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 58471108864 + 59457945600 = 241808^2 + 243840^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 928575169 + ... + 928575295.

Almost surely, 2117929054464 is an apocalyptic number.

117929054464 is the 343408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117929054464

117929054464 is an abundant number, since it is smaller than the sum of its proper divisors (139107950243).

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

117929054464 is an frugal number, since it uses more digits than its factorization.

117929054464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 117929054464 in words is "one hundred seventeen billion, nine hundred twenty-nine million, fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 128 169 208 254 256 338 416 508 676 832 1016 1352 1651 1664 2032 2197 2704 3302 3328 4064 4394 5408 6604 8128 8788 10816 13208 16129 16256 17576 21463 21632 26416 28561 32258 32512 35152 42926 43264 52832 57122 64516 70304 85852 105664 114244 129032 140608 171704 209677 211328 228488 258064 279019 281216 343408 419354 422656 456976 516128 558038 562432 686816 838708 913952 1032256 1116076 1373632 1677416 1827904 2064512 2232152 2725801 2747264 3354832 3627247 3655808 4129024 4464304 5451602 5494528 6709664 7254494 7311616 8928608 10903204 13419328 14508988 17857216 21806408 26838656 29017976 35435413 35714432 43612816 53677312 58035952 70870826 71428864 87225632 116071904 141741652 174451264 232143808 283483304 348902528 460660369 464287616 566966608 697805056 921320738 928575232 1133933216 1842641476 2267866432 3685282952 4535732864 7370565904 9071465728 14741131808 29482263616 58964527232 117929054464