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56577225102255 = 3351113383208933
BaseRepresentation
bin11001101110100111010010…
…11001111001001110101111
321102022201201002120012012000
430313103221121321032233
524403430124111233010
6320155115101343343
714626366244354454
oct1467235131711657
9242281632505160
1056577225102255
11170332a26722a0
126419066267b53
132575295187000
14dd84d0a2782b
15681a842bc7c0
hex3374e96793af

56577225102255 has 256 divisors, whose sum is σ = 120297845606400. Its totient is φ = 25016080227840.

The previous prime is 56577225102173. The next prime is 56577225102313. The reversal of 56577225102255 is 55220152277565.

56577225102255 is a `hidden beast` number, since 5 + 6 + 5 + 7 + 72 + 2 + 510 + 2 + 2 + 55 = 666.

It is not a de Polignac number, because 56577225102255 - 210 = 56577225101231 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 270686769 + ... + 270895701.

It is an arithmetic number, because the mean of its divisors is an integer number (469913459400).

Almost surely, 256577225102255 is an apocalyptic number.

56577225102255 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

56577225102255 is an abundant number, since it is smaller than the sum of its proper divisors (63720620504145).

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

56577225102255 is a wasteful number, since it uses less digits than its factorization.

56577225102255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209080 (or 209048 counting only the distinct ones).

The product of its (nonzero) digits is 14700000, while the sum is 54.

The spelling of 56577225102255 in words is "fifty-six trillion, five hundred seventy-seven billion, two hundred twenty-five million, one hundred two thousand, two hundred fifty-five".