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117856263204 = 223229219732
BaseRepresentation
bin110110111000011000…
…1111101110000100100
3102021012121100111110100
41231300301331300210
53412332200410304
6130050432424100
711341405464621
oct1556061756044
9367177314410
10117856263204
1145a89873a19
121aa119a8030
13b163024b64
1459c0753348
1530ebb9e439
hex1b70c7dc24

117856263204 has 81 divisors (see below), whose sum is σ = 308698054483. Its totient is φ = 37911526464.

The previous prime is 117856263167. The next prime is 117856263221. The reversal of 117856263204 is 402362658711.

The square root of 117856263204 is 343302.

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

117856263204 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 5 + 6 + 2 + 632 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8924580900 + 108931682304 = 94470^2 + 330048^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 117856263204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 59733562 + ... + 59735534.

Almost surely, 2117856263204 is an apocalyptic number.

117856263204 is the 343302-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117856263204

117856263204 is an abundant number, since it is smaller than the sum of its proper divisors (190841791279).

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

117856263204 is an equidigital number, since it uses as much as digits as its factorization.

117856263204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 117856263204 in words is "one hundred seventeen billion, eight hundred fifty-six million, two hundred sixty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1682 1973 2523 3364 3946 5046 5919 7569 7892 10092 11838 15138 17757 23676 30276 35514 57217 71028 114434 171651 228868 343302 514953 686604 1029906 1659293 2059812 3318586 3892729 4977879 6637172 7785458 9955758 11678187 14933637 15570916 19911516 23356374 29867274 35034561 46712748 59734548 70069122 112889141 140138244 225778282 338667423 451556564 677334846 1016002269 1354669692 2032004538 3273785089 4064009076 6547570178 9821355267 13095140356 19642710534 29464065801 39285421068 58928131602 117856263204