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56180376576 = 210348232
BaseRepresentation
bin110100010100100111…
…001000010000000000
312101000022021211110000
4310110213020100000
51410024134022301
641450420240000
74026126215232
oct642447102000
9171008254400
1056180376576
112190a3a3495
12aa7a840000
1353b4311b9c
142a0d494252
1516dc25c786
hexd149c8400

56180376576 has 165 divisors, whose sum is σ = 167969682111. Its totient is φ = 18704037888.

The previous prime is 56180376563. The next prime is 56180376667. The reversal of 56180376576 is 67567308165.

The square root of 56180376576 is 237024.

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

56180376576 is a `hidden beast` number, since 5 + 61 + 8 + 0 + 3 + 7 + 6 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 68262501 + ... + 68263323.

Almost surely, 256180376576 is an apocalyptic number.

56180376576 is the 237024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56180376576

56180376576 is an abundant number, since it is smaller than the sum of its proper divisors (111789305535).

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

56180376576 is an frugal number, since it uses more digits than its factorization.

56180376576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 56180376576 in words is "fifty-six billion, one hundred eighty million, three hundred seventy-six thousand, five hundred seventy-six".