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57461985000 = 2332547199601
BaseRepresentation
bin110101100001000000…
…000100111011101000
312111022121212021200200
4311201000010323220
51420140232010000
642221521432200
74102650546030
oct654100047350
9174277767620
1057461985000
1122407879902
12b177a9b660
1355599aa874
142ad17888c0
151764a18500
hexd61004ee8

57461985000 has 480 divisors, whose sum is σ = 233973854400. Its totient is φ = 12441600000.

The previous prime is 57461984969. The next prime is 57461985013. The reversal of 57461985000 is 58916475.

57461985000 is a `hidden beast` number, since 57 + 4 + 6 + 1 + 98 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5980200 + ... + 5989800.

It is an arithmetic number, because the mean of its divisors is an integer number (487445530).

Almost surely, 257461985000 is an apocalyptic number.

57461985000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57461985000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116986927200).

57461985000 is an abundant number, since it is smaller than the sum of its proper divisors (176511869400).

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

57461985000 is a wasteful number, since it uses less digits than its factorization.

57461985000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9659 (or 9637 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 57461985000 in words is "fifty-seven billion, four hundred sixty-one million, nine hundred eighty-five thousand".