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5925104640 = 210345713157
BaseRepresentation
bin1011000010010100…
…11110110000000000
3120021221010111120000
411201022132300000
544113311322030
62415535320000
7266554362360
oct54112366000
916257114500
105925104640
1125706268a4
121194380000
13735704ca0
14402cb49a0
1524a291860
hex16129ec00

5925104640 has 880 divisors, whose sum is σ = 26298414912. Its totient is φ = 1242169344.

The previous prime is 5925104623. The next prime is 5925104657. The reversal of 5925104640 is 464015295.

5925104640 is a `hidden beast` number, since 5 + 9 + 2 + 5 + 1 + 0 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (5925104623) and next prime (5925104657).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5925104595 and 5925104604.

It is a congruent number.

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, 37739442 + ... + 37739598.

Almost surely, 25925104640 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 5925104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13149207456).

5925104640 is an abundant number, since it is smaller than the sum of its proper divisors (20373310272).

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

5925104640 is a wasteful number, since it uses less digits than its factorization.

5925104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5925104640 is about 76974.7012985435. The cubic root of 5925104640 is about 1809.5281412973.

The spelling of 5925104640 in words is "five billion, nine hundred twenty-five million, one hundred four thousand, six hundred forty".