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5590713960 = 23345132329199
BaseRepresentation
bin1010011010011101…
…11000011001101000
3112102121220200210000
411031032320121220
542422210321320
62322432223000
7255354166416
oct51516703150
915377820700
105590713960
1124098a3167
12110039aa60
136b1355890
143b070c2b6
1522ac3cc90
hex14d3b8668

5590713960 has 640 divisors, whose sum is σ = 21954240000. Its totient is φ = 1264564224.

The previous prime is 5590713911. The next prime is 5590713971. The reversal of 5590713960 is 693170955.

5590713960 is a `hidden beast` number, since 559 + 0 + 7 + 1 + 3 + 96 + 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 159 ways as a sum of consecutive naturals, for example, 28093941 + ... + 28094139.

It is an arithmetic number, because the mean of its divisors is an integer number (34303500).

Almost surely, 25590713960 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 5590713960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10977120000).

5590713960 is an abundant number, since it is smaller than the sum of its proper divisors (16363526040).

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

5590713960 is a wasteful number, since it uses less digits than its factorization.

5590713960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 5590713960 is about 74771.0770284874. The cubic root of 5590713960 is about 1774.8258994749.

The spelling of 5590713960 in words is "five billion, five hundred ninety million, seven hundred thirteen thousand, nine hundred sixty".