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117317612256 = 25313711324007
BaseRepresentation
bin110110101000010101…
…1001011001011100000
3102012211001210012021020
41231100223023023200
53410231302043011
6125521151325440
711322145151655
oct1552053131340
9365731705236
10117317612256
1145832808549
121a8a1520880
13b0a85592a0
14596cdb9c2c
1530b974e006
hex1b50acb2e0

117317612256 has 96 divisors (see below), whose sum is σ = 336319216128. Its totient is φ = 35589281280.

The previous prime is 117317612233. The next prime is 117317612299. The reversal of 117317612256 is 652216713711.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1173176122562 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 573396 + ... + 750611.

It is an arithmetic number, because the mean of its divisors is an integer number (3503325168).

Almost surely, 2117317612256 is an apocalyptic number.

117317612256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

117317612256 is an abundant number, since it is smaller than the sum of its proper divisors (219001603872).

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

117317612256 is a wasteful number, since it uses less digits than its factorization.

117317612256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324104 (or 1324096 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The spelling of 117317612256 in words is "one hundred seventeen billion, three hundred seventeen million, six hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 71 78 96 104 142 156 208 213 284 312 416 426 568 624 852 923 1136 1248 1704 1846 2272 2769 3408 3692 5538 6816 7384 11076 14768 22152 29536 44304 88608 1324007 2648014 3972021 5296028 7944042 10592056 15888084 17212091 21184112 31776168 34424182 42368224 51636273 63552336 68848364 94004497 103272546 127104672 137696728 188008994 206545092 275393456 282013491 376017988 413090184 550786912 564026982 752035976 826180368 1128053964 1222058461 1504071952 1652360736 2256107928 2444116922 3008143904 3666175383 4512215856 4888233844 7332350766 9024431712 9776467688 14664701532 19552935376 29329403064 39105870752 58658806128 117317612256