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56987685000 = 233354439817
BaseRepresentation
bin110101000100101110…
…110001000010001000
312110002120101100102000
4311010232301002020
51413202321410000
642102455511000
74055131221141
oct650456610210
9173076340360
1056987685000
1122194076234
12b065088460
1354b265348c
142a887a2ac8
15173807a000
hexd44bb1088

56987685000 has 320 divisors, whose sum is σ = 202431451200. Its totient is φ = 14841792000.

The previous prime is 56987684993. The next prime is 56987685031. The reversal of 56987685000 is 58678965.

56987685000 is a `hidden beast` number, since 5 + 69 + 8 + 76 + 8 + 500 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5800092 + ... + 5809908.

It is an arithmetic number, because the mean of its divisors is an integer number (632598285).

Almost surely, 256987685000 is an apocalyptic number.

56987685000 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 56987685000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101215725600).

56987685000 is an abundant number, since it is smaller than the sum of its proper divisors (145443766200).

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

56987685000 is a wasteful number, since it uses less digits than its factorization.

56987685000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9895 (or 9870 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 56987685000 in words is "fifty-six billion, nine hundred eighty-seven million, six hundred eighty-five thousand".