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5575933664 = 2571011931277
BaseRepresentation
bin1010011000101100…
…11111111011100000
3112101121002210000122
411030112133323200
542404414334124
62321143335412
7255114440240
oct51426377340
915347083018
105575933664
112401518544
1210b7451568
136ab27c242
143ac781b20
152297bd75e
hex14c59fee0

5575933664 has 96 divisors (see below), whose sum is σ = 12745688256. Its totient is φ = 2351923200.

The previous prime is 5575933541. The next prime is 5575933673. The reversal of 5575933664 is 4663395755.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4365794 + ... + 4367070.

It is an arithmetic number, because the mean of its divisors is an integer number (132767586).

Almost surely, 25575933664 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 5575933664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6372844128).

5575933664 is an abundant number, since it is smaller than the sum of its proper divisors (7169754592).

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

5575933664 is a wasteful number, since it uses less digits than its factorization.

5575933664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1580 counting only the distinct ones).

The product of its digits is 10206000, while the sum is 53.

The square root of 5575933664 is about 74672.1746301793. The cubic root of 5575933664 is about 1773.2604701188.

The spelling of 5575933664 in words is "five billion, five hundred seventy-five million, nine hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 101 112 193 202 224 386 404 707 772 808 1277 1351 1414 1544 1616 2554 2702 2828 3088 3232 5108 5404 5656 6176 8939 10216 10808 11312 17878 19493 20432 21616 22624 35756 38986 40864 43232 71512 77972 128977 136451 143024 155944 246461 257954 272902 286048 311888 492922 515908 545804 623776 902839 985844 1031816 1091608 1725227 1805678 1971688 2063632 2183216 3450454 3611356 3943376 4127264 4366432 6900908 7222712 7886752 13801816 14445424 24892561 27603632 28890848 49785122 55207264 99570244 174247927 199140488 348495854 398280976 696991708 796561952 1393983416 2787966832 5575933664