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5658207616 = 27593592087
BaseRepresentation
bin1010100010100000…
…10110010110000000
3112121022220201200001
411101100112112000
543042000120431
62333243005344
7260133654055
oct52120262600
915538821601
105658207616
112443a02146
12111ab09854
136c2327659
143b967b02c
15231b20e61
hex151416580

5658207616 has 64 divisors (see below), whose sum is σ = 11500704000. Its totient is φ = 2772077056.

The previous prime is 5658207571. The next prime is 5658207617. The reversal of 5658207616 is 6167028565.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5658207617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2710125 + ... + 2712211.

It is an arithmetic number, because the mean of its divisors is an integer number (179698500).

Almost surely, 25658207616 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 5658207616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5750352000).

5658207616 is an abundant number, since it is smaller than the sum of its proper divisors (5842496384).

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

5658207616 is a wasteful number, since it uses less digits than its factorization.

5658207616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The square root of 5658207616 is about 75221.0583281038. The cubic root of 5658207616 is about 1781.9395195297.

The spelling of 5658207616 in words is "five billion, six hundred fifty-eight million, two hundred seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 359 472 718 944 1436 1888 2087 2872 3776 4174 5744 7552 8348 11488 16696 21181 22976 33392 42362 45952 66784 84724 123133 133568 169448 246266 267136 338896 492532 677792 749233 985064 1355584 1498466 1970128 2711168 2996932 3940256 5993864 7880512 11987728 15761024 23975456 44204747 47950912 88409494 95901824 176818988 353637976 707275952 1414551904 2829103808 5658207616