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57889856640 = 27357111937557
BaseRepresentation
bin110101111010100000…
…010001110010000000
312112102102222102020110
4311322200101302000
51422024300403030
642332204311320
74116364443150
oct657240216200
9175372872213
1057889856640
1122607351130
12b277242540
1355c752a455
142b32526760
15178c3851b0
hexd7a811c80

57889856640 has 1024 divisors, whose sum is σ = 249155481600. Its totient is φ = 11068047360.

The previous prime is 57889856593. The next prime is 57889856641. The reversal of 57889856640 is 4665898875.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (57889856641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 103931242 + ... + 103931798.

It is an arithmetic number, because the mean of its divisors is an integer number (243315900).

Almost surely, 257889856640 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 57889856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124577740800).

57889856640 is an abundant number, since it is smaller than the sum of its proper divisors (191265624960).

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

57889856640 is a wasteful number, since it uses less digits than its factorization.

57889856640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 66.

The spelling of 57889856640 in words is "fifty-seven billion, eight hundred eighty-nine million, eight hundred fifty-six thousand, six hundred forty".