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27013274640 = 24325113410767
BaseRepresentation
bin11001001010000111…
…011101110000010000
32120201121020112102100
4121022013131300100
5420310344242030
620224300120400
71644262021512
oct311207356020
976647215370
1027013274640
1110502320070
12529a836100
13271667aaa1
1414438d9bb2
15a81808360
hex64a1ddc10

27013274640 has 120 divisors (see below), whose sum is σ = 98966844288. Its totient is φ = 6548670720.

The previous prime is 27013274597. The next prime is 27013274653. The reversal of 27013274640 is 4647231072.

27013274640 is a `hidden beast` number, since 2 + 7 + 0 + 1 + 3 + 2 + 7 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27013274595 and 27013274604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1697464 + ... + 1713303.

Almost surely, 227013274640 is an apocalyptic number.

27013274640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27013274640 is an abundant number, since it is smaller than the sum of its proper divisors (71953569648).

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

27013274640 is a wasteful number, since it uses less digits than its factorization.

27013274640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410797 (or 3410788 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 27013274640 in words is "twenty-seven billion, thirteen million, two hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 3410767 6821534 10232301 13643068 17053835 20464602 27286136 30696903 34107670 37518437 40929204 51161505 54572272 61393806 68215340 75036874 81858408 102323010 112555311 122787612 136430680 150073748 153484515 163716816 187592185 204646020 225110622 245575224 272861360 300147496 306969030 337665933 375184370 409292040 450221244 491150448 562776555 600294992 613938060 675331866 750368740 818584080 900442488 1125553110 1227876120 1350663732 1500737480 1688329665 1800884976 2251106220 2455752240 2701327464 3001474960 3376659330 4502212440 5402654928 6753318660 9004424880 13506637320 27013274640