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117536522896 = 241321923472
BaseRepresentation
bin110110101110110111…
…0010000001010010000
3102020101022201000012201
41231131232100022100
53411203322213041
6125555011332544
711330443650262
oct1553556201220
9366338630181
10117536522896
1145935337331
121a9428b1154
13b111a04c00
1459900c1b32
1530cda91631
hex1b5db90290

117536522896 has 135 divisors (see below), whose sum is σ = 261005749641. Its totient is φ = 51244382592.

The previous prime is 117536522891. The next prime is 117536522899. The reversal of 117536522896 is 698225635711.

The square root of 117536522896 is 342836.

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

It can be written as a sum of positive squares in only one way, i.e., 17387059600 + 100149463296 = 131860^2 + 316464^2 .

It is not an unprimeable number, because it can be changed into a prime (117536522891) 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 26 ways as a sum of consecutive naturals, for example, 338721795 + ... + 338722141.

Almost surely, 2117536522896 is an apocalyptic number.

117536522896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

117536522896 is the 342836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117536522896

117536522896 is an abundant number, since it is smaller than the sum of its proper divisors (143469226745).

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

117536522896 is an equidigital number, since it uses as much as digits as its factorization.

117536522896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 381 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 55.

The spelling of 117536522896 in words is "one hundred seventeen billion, five hundred thirty-six million, five hundred twenty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 169 208 247 304 338 347 361 494 676 694 722 988 1352 1388 1444 1976 2704 2776 2888 3211 3952 4511 4693 5552 5776 6422 6593 9022 9386 12844 13186 18044 18772 25688 26372 36088 37544 51376 52744 58643 61009 72176 75088 85709 105488 117286 120409 122018 125267 171418 234572 240818 244036 250534 342836 469144 481636 488072 501068 685672 938288 963272 976144 1002136 1114217 1371344 1565317 1628471 1926544 2004272 2228434 2287771 3130634 3256942 4456868 4575542 6261268 6513884 8913736 9151084 12522536 13027768 17827472 18302168 20349121 21170123 25045072 26055536 29741023 36604336 40698242 42340246 43467649 59482046 81396484 84680492 86935298 118964092 162792968 169360984 173870596 237928184 325585936 338721968 347741192 386633299 475856368 565079437 695482384 773266598 1130158874 1546533196 2260317748 3093066392 4520635496 6186132784 7346032681 9041270992 14692065362 29384130724 58768261448 117536522896