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56876526144 = 26321925232
BaseRepresentation
bin110100111110000110…
…101110101001000000
312102210211012220010100
4310332012232221000
51412440342314034
642043445202400
74052311331634
oct647606565100
9172724186110
1056876526144
1122137352a09
12b033a00400
1354956037c9
142a77b08dc4
15172d41e099
hexd3e1aea40

56876526144 has 189 divisors, whose sum is σ = 172387832643. Its totient is φ = 17926665984.

The previous prime is 56876526127. The next prime is 56876526247. The reversal of 56876526144 is 44162567865.

The square root of 56876526144 is 238488.

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

56876526144 is a `hidden beast` number, since 5 + 6 + 8 + 76 + 526 + 1 + 44 = 666.

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 26 ways as a sum of consecutive naturals, for example, 108750267 + ... + 108750789.

Almost surely, 256876526144 is an apocalyptic number.

56876526144 is the 238488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56876526144

56876526144 is an abundant number, since it is smaller than the sum of its proper divisors (115511306499).

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

56876526144 is an equidigital number, since it uses as much as digits as its factorization.

56876526144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 547 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 56876526144 in words is "fifty-six billion, eight hundred seventy-six million, five hundred twenty-six thousand, one hundred forty-four".