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6925392864 = 2533132431103
BaseRepresentation
bin1100111001100100…
…10001101111100000
3122212122100102001000
412130302101233200
5103140400032424
63103111112000
7333421603515
oct63462215740
918778312030
106925392864
112a34227185
121413372600
13864a13400
14499a9930c
152a7ecd3c9
hex19cc91be0

6925392864 has 288 divisors, whose sum is σ = 22401308160. Its totient is φ = 2079447552.

The previous prime is 6925392857. The next prime is 6925392869. The reversal of 6925392864 is 4682935296.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×69253928642 = 95922132641484244992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6925392864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6925392869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6278137 + ... + 6279239.

It is an arithmetic number, because the mean of its divisors is an integer number (77782320).

Almost surely, 26925392864 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 6925392864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11200654080).

6925392864 is an abundant number, since it is smaller than the sum of its proper divisors (15475915296).

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

6925392864 is a wasteful number, since it uses less digits than its factorization.

6925392864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1164 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 6925392864 is about 83218.9453429927. The cubic root of 6925392864 is about 1906.1107837716.

The spelling of 6925392864 in words is "six billion, nine hundred twenty-five million, three hundred ninety-two thousand, eight hundred sixty-four".