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57450195432 = 2334722397811
BaseRepresentation
bin110101100000010011…
…000110100111101000
312111021210200022110000
4311200103012213220
51420124222223212
642220421023000
74102445414100
oct654023064750
9174253608400
1057450195432
1122401157163
12b173b54a60
1355574105a6
142acdd9a200
15176398a1dc
hexd604c69e8

57450195432 has 480 divisors, whose sum is σ = 197580841920. Its totient is φ = 15519651840.

The previous prime is 57450195431. The next prime is 57450195487. The reversal of 57450195432 is 23459105475.

57450195432 is a `hidden beast` number, since 5 + 7 + 450 + 195 + 4 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57450195431) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 70838307 + ... + 70839117.

It is an arithmetic number, because the mean of its divisors is an integer number (411626754).

Almost surely, 257450195432 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 57450195432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98790420960).

57450195432 is an abundant number, since it is smaller than the sum of its proper divisors (140130646488).

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

57450195432 is a wasteful number, since it uses less digits than its factorization.

57450195432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 57450195432 in words is "fifty-seven billion, four hundred fifty million, one hundred ninety-five thousand, four hundred thirty-two".