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113656638848 = 276764320611
BaseRepresentation
bin110100111011001110…
…1101010110110000000
3101212100221000110212112
41221312131222312000
53330232044420343
6124114012114452
711132342330054
oct1516635526600
9355327013775
10113656638848
1144224233a95
121a03b465a28
13a943c4b12c
145702ab7c64
152e53146218
hex1a7676ad80

113656638848 has 64 divisors (see below), whose sum is σ = 230173379520. Its totient is φ = 55890362880.

The previous prime is 113656638827. The next prime is 113656638869. The reversal of 113656638848 is 848836656311.

It is an interprime number because it is at equal distance from previous prime (113656638827) and next prime (113656638869).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5504063 + ... + 5524673.

It is an arithmetic number, because the mean of its divisors is an integer number (3596459055).

Almost surely, 2113656638848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113656638848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115086689760).

113656638848 is an abundant number, since it is smaller than the sum of its proper divisors (116516740672).

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

113656638848 is an equidigital number, since it uses as much as digits as its factorization.

113656638848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21335 (or 21323 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 59.

The spelling of 113656638848 in words is "one hundred thirteen billion, six hundred fifty-six million, six hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 536 643 1072 1286 2144 2572 4288 5144 8576 10288 20576 20611 41152 41222 43081 82304 82444 86162 164888 172324 329776 344648 659552 689296 1319104 1378592 1380937 2638208 2757184 2761874 5514368 5523748 11047496 13252873 22094992 26505746 44189984 53011492 88379968 106022984 176759936 212045968 424091936 848183872 887942491 1696367744 1775884982 3551769964 7103539928 14207079856 28414159712 56828319424 113656638848