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57944806920 = 2333572111321931
BaseRepresentation
bin110101111101110001…
…111001011000001000
312112120021101011212000
4311331301321120020
51422132332310140
642341450151000
74120632506100
oct657561713010
9175507334760
1057944806920
1122635373090
12b291722460
135605a29b00
142b3994c200
1517920dba30
hexd7dc79608

57944806920 has 2304 divisors, whose sum is σ = 288396288000. Its totient is φ = 10189670400.

The previous prime is 57944806891. The next prime is 57944806921. The reversal of 57944806920 is 2960844975.

57944806920 is a `hidden beast` number, since 5 + 79 + 4 + 480 + 6 + 92 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (57944806921) 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 575 ways as a sum of consecutive naturals, for example, 1869187305 + ... + 1869187335.

It is an arithmetic number, because the mean of its divisors is an integer number (125172000).

Almost surely, 257944806920 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 57944806920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144198144000).

57944806920 is an abundant number, since it is smaller than the sum of its proper divisors (230451481080).

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

57944806920 is a wasteful number, since it uses less digits than its factorization.

57944806920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 57944806920 in words is "fifty-seven billion, nine hundred forty-four million, eight hundred six thousand, nine hundred twenty".