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56565123272020 = 225112232376119577
BaseRepresentation
bin11001101110010000110000…
…00101000100110101010100
321102021120110200211112000101
430313020120011010311110
524403230333024201040
6320145354153223444
714625460325453536
oct1467103005046524
9242246420745011
1056565123272020
111702915248a100
126416849401b84
1325740b6bba90c
14dd7aa369d856
156815c6b3509a
hex337218144d54

56565123272020 has 432 divisors, whose sum is σ = 142485172646544. Its totient is φ = 18828290764800.

The previous prime is 56565123272011. The next prime is 56565123272023. The reversal of 56565123272020 is 2027232156565.

It can be written as a sum of positive squares in 8 ways, for example, as 989619081616 + 55575504190404 = 994796^2 + 7454898^2 .

It is a super-2 number, since 2×565651232720202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56565123272023) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2889356472 + ... + 2889376048.

Almost surely, 256565123272020 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 56565123272020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71242586323272).

56565123272020 is an abundant number, since it is smaller than the sum of its proper divisors (85920049374524).

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

56565123272020 is a wasteful number, since it uses less digits than its factorization.

56565123272020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19752 (or 19716 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 46.

The spelling of 56565123272020 in words is "fifty-six trillion, five hundred sixty-five billion, one hundred twenty-three million, two hundred seventy-two thousand, twenty".