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117879430464 = 263368217263
BaseRepresentation
bin110110111001000101…
…0010101110101000000
3102021021012221111222000
41231302022111311000
53412404113233324
6130053021144000
711342106424635
oct1556212256500
9367235844860
10117879430464
1145aa0957914
121aa196bb000
13b167a76ab3
1459c386418c
1530edc289c9
hex1b72295d40

117879430464 has 56 divisors (see below), whose sum is σ = 346543701120. Its totient is φ = 39293142912.

The previous prime is 117879430457. The next prime is 117879430519. The reversal of 117879430464 is 464034978711.

It is a happy number.

117879430464 is a `hidden beast` number, since 1 + 1 + 78 + 79 + 43 + 0 + 464 = 666.

It is a super-2 number, since 2×1178794304642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 117879430464.

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 7 ways as a sum of consecutive naturals, for example, 34106904 + ... + 34110359.

Almost surely, 2117879430464 is an apocalyptic number.

It is an amenable number.

117879430464 is an abundant number, since it is smaller than the sum of its proper divisors (228664270656).

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

117879430464 is an equidigital number, since it uses as much as digits as its factorization.

117879430464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68217284 (or 68217268 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 117879430464 in words is "one hundred seventeen billion, eight hundred seventy-nine million, four hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 68217263 136434526 204651789 272869052 409303578 545738104 613955367 818607156 1091476208 1227910734 1637214312 1841866101 2182952416 2455821468 3274428624 3683732202 4365904832 4911642936 6548857248 7367464404 9823285872 13097714496 14734928808 19646571744 29469857616 39293143488 58939715232 117879430464