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55657486620720 = 24335232452745677
BaseRepresentation
bin11001010011110110001001…
…01110000001100000110000
321022001210200221100100121000
430221323010232001200300
524243343013033330340
6314212410230002000
714503056255304515
oct1451730456014060
9238053627310530
1055657486620720
1116809231234146
1262aa9637a6300
13250962b26973a
14da5b9dd9330c
15667ba3e81d30
hex329ec4b81830

55657486620720 has 320 divisors, whose sum is σ = 200056835543040. Its totient is φ = 14195802627072.

The previous prime is 55657486620707. The next prime is 55657486620721. The reversal of 55657486620720 is 2702668475655.

55657486620720 is a `hidden beast` number, since 5 + 5 + 65 + 7 + 486 + 6 + 20 + 72 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (55657486620721) 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 63 ways as a sum of consecutive naturals, for example, 1218478522 + ... + 1218524198.

It is an arithmetic number, because the mean of its divisors is an integer number (625177611072).

Almost surely, 255657486620720 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 55657486620720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100028417771520).

55657486620720 is an abundant number, since it is smaller than the sum of its proper divisors (144399348922320).

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

55657486620720 is a wasteful number, since it uses less digits than its factorization.

55657486620720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70249 (or 70237 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 63.

The spelling of 55657486620720 in words is "fifty-five trillion, six hundred fifty-seven billion, four hundred eighty-six million, six hundred twenty thousand, seven hundred twenty".