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28188646272 = 27338156437
BaseRepresentation
bin11010010000001011…
…001001101110000000
32200202111220121012000
4122100023021232000
5430212243140042
620541044304000
72015353353123
oct322013115600
980674817160
1028188646272
1110a55835186
1255683a2000
13287302b267
141515a583ba
15aeeacb74c
hex6902c9b80

28188646272 has 64 divisors (see below), whose sum is σ = 83195667600. Its totient is φ = 9396214272.

The previous prime is 28188646267. The next prime is 28188646273. The reversal of 28188646272 is 27264688182.

28188646272 is a `hidden beast` number, since 2 + 8 + 1 + 8 + 8 + 6 + 4 + 627 + 2 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28188646273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4074763 + ... + 4081674.

Almost surely, 228188646272 is an apocalyptic number.

It is an amenable number.

28188646272 is an abundant number, since it is smaller than the sum of its proper divisors (55007021328).

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

28188646272 is an equidigital number, since it uses as much as digits as its factorization.

28188646272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8156460 (or 8156442 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 28188646272 in words is "twenty-eight billion, one hundred eighty-eight million, six hundred forty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 8156437 16312874 24469311 32625748 48938622 65251496 73407933 97877244 130502992 146815866 195754488 220223799 261005984 293631732 391508976 440447598 522011968 587263464 783017952 880895196 1044023936 1174526928 1566035904 1761790392 2349053856 3132071808 3523580784 4698107712 7047161568 9396215424 14094323136 28188646272