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57327937920 = 2735511233147
BaseRepresentation
bin110101011001000000…
…101110100110000000
312110222021121222200000
4311121000232212000
51414401423003140
642200332400000
74066432301151
oct653100564600
9173867558600
1057327937920
11223491432a0
12b13b016000
135537ca5c76
142abba53928
151757d8aa30
hexd5902e980

57327937920 has 1536 divisors, whose sum is σ = 246363586560. Its totient is φ = 12590899200.

The previous prime is 57327937913. The next prime is 57327937939. The reversal of 57327937920 is 2973972375.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1219743337 + ... + 1219743383.

It is an arithmetic number, because the mean of its divisors is an integer number (160392960).

Almost surely, 257327937920 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 57327937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123181793280).

57327937920 is an abundant number, since it is smaller than the sum of its proper divisors (189035648640).

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

57327937920 is a wasteful number, since it uses less digits than its factorization.

57327937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 5000940, while the sum is 54.

The spelling of 57327937920 in words is "fifty-seven billion, three hundred twenty-seven million, nine hundred thirty-seven thousand, nine hundred twenty".