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157678656 = 2636113463
BaseRepresentation
bin10010110010111…
…11110001000000
3101222200220110020
421121133301000
5310331204111
623351333440
73623150352
oct1131376100
9358626406
10157678656
1181007343
1244981280
1326889ca5
1416d270d2
15dc99906
hex965fc40

157678656 has 56 divisors (see below), whose sum is σ = 424062144. Its totient is φ = 51694080.

The previous prime is 157678627. The next prime is 157678667. The reversal of 157678656 is 656876751.

It is a junction number, because it is equal to n+sod(n) for n = 157678599 and 157678608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4981 + ... + 18443.

Almost surely, 2157678656 is an apocalyptic number.

157678656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157678656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212031072).

157678656 is an abundant number, since it is smaller than the sum of its proper divisors (266383488).

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

157678656 is a wasteful number, since it uses less digits than its factorization.

157678656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13539 (or 13529 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 51.

The square root of 157678656 is about 12557.0162060897. The cubic root of 157678656 is about 540.2452658135.

The spelling of 157678656 in words is "one hundred fifty-seven million, six hundred seventy-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 366 488 732 976 1464 1952 2928 3904 5856 11712 13463 26926 40389 53852 80778 107704 161556 215408 323112 430816 646224 821243 861632 1292448 1642486 2463729 2584896 3284972 4927458 6569944 9854916 13139888 19709832 26279776 39419664 52559552 78839328 157678656