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56998196640 = 2535571179241
BaseRepresentation
bin110101000101010110…
…110111010110100000
312110010022011101200000
4311011112313112200
51413213014243030
642103513100000
74055316451260
oct650526672640
9173108141600
1056998196640
1122199aa5840
12b0686b7600
1354b4893b98
142a89d3b7a0
151738e54860
hexd455b75a0

56998196640 has 1152 divisors, whose sum is σ = 255722987520. Its totient is φ = 11645337600.

The previous prime is 56998196639. The next prime is 56998196641. The reversal of 56998196640 is 4669189965.

56998196640 is a `hidden beast` number, since 569 + 9 + 8 + 1 + 9 + 6 + 64 + 0 = 666.

56998196640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56998196639) and next prime (56998196641).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (56998196641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 236506920 + ... + 236507160.

It is an arithmetic number, because the mean of its divisors is an integer number (221981760).

Almost surely, 256998196640 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 56998196640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127861493760).

56998196640 is an abundant number, since it is smaller than the sum of its proper divisors (198724790880).

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

56998196640 is a wasteful number, since it uses less digits than its factorization.

56998196640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 56998196640 in words is "fifty-six billion, nine hundred ninety-eight million, one hundred ninety-six thousand, six hundred forty".