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28365656382 = 233775041419
BaseRepresentation
bin11010011010101110…
…011001000100111110
32201012211222122102000
4122122232121010332
5431043102001012
621010410243130
72022633046440
oct323256310476
981184878360
1028365656382
1111036745528
1255b77264a6
1328a08c627b
141531374490
15b103e3ddc
hex69ab9913e

28365656382 has 32 divisors (see below), whose sum is σ = 72039763200. Its totient is φ = 8104473144.

The previous prime is 28365656353. The next prime is 28365656393.

28365656382 is a `hidden beast` number, since 28 + 3 + 6 + 56 + 563 + 8 + 2 = 666.

28365656382 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×283656563822 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37520332 + ... + 37521087.

It is an arithmetic number, because the mean of its divisors is an integer number (2251242600).

Almost surely, 228365656382 is an apocalyptic number.

28365656382 is an abundant number, since it is smaller than the sum of its proper divisors (43674106818).

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

28365656382 is a wasteful number, since it uses less digits than its factorization.

28365656382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75041437 (or 75041431 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 28365656382 in words is "twenty-eight billion, three hundred sixty-five million, six hundred fifty-six thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 75041419 150082838 225124257 450248514 525289933 675372771 1050579866 1350745542 1575869799 2026118313 3151739598 4052236626 4727609397 9455218794 14182828191 28365656382