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57122190048 = 25371171127857
BaseRepresentation
bin110101001100101111…
…110111001011100000
312110102221110220122110
4311030233313023200
51413441240040143
642124102435320
74061353414140
oct651457671340
9173387426573
1057122190048
1122252a94930
12b0a2132b40
135504488671
142a9c5b6920
151744c98533
hexd4cbf72e0

57122190048 has 384 divisors, whose sum is σ = 191294078976. Its totient is φ = 14495846400.

The previous prime is 57122190023. The next prime is 57122190049. The reversal of 57122190048 is 84009122175.

It is a junction number, because it is equal to n+sod(n) for n = 57122189988 and 57122190015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57122190049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66653236 + ... + 66654092.

It is an arithmetic number, because the mean of its divisors is an integer number (498161664).

Almost surely, 257122190048 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 57122190048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95647039488).

57122190048 is an abundant number, since it is smaller than the sum of its proper divisors (134171888928).

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

57122190048 is a wasteful number, since it uses less digits than its factorization.

57122190048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 57122190048 in words is "fifty-seven billion, one hundred twenty-two million, one hundred ninety thousand, forty-eight".