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27274939020 = 22325738356519
BaseRepresentation
bin11001011001101101…
…101000101010001100
32121101211121110110200
4121121231220222030
5421324341022040
620310244333500
71653620104440
oct313155505214
977354543420
1027274939020
1110626aa041a
1253523a4290
132758945794
14146a570820
15a99793630
hex659b68a8c

27274939020 has 144 divisors (see below), whose sum is σ = 94801674240. Its totient is φ = 6217884288.

The previous prime is 27274939007. The next prime is 27274939049. The reversal of 27274939020 is 2093947272.

27274939020 is a `hidden beast` number, since 2 + 72 + 7 + 493 + 90 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454321 + ... + 510839.

It is an arithmetic number, because the mean of its divisors is an integer number (658344960).

Almost surely, 227274939020 is an apocalyptic number.

27274939020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27274939020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47400837120).

27274939020 is an abundant number, since it is smaller than the sum of its proper divisors (67526735220).

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

27274939020 is a wasteful number, since it uses less digits than its factorization.

27274939020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56924 (or 56919 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 27274939020 in words is "twenty-seven billion, two hundred seventy-four million, nine hundred thirty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 383 420 630 766 1149 1260 1532 1915 2298 2681 3447 3830 4596 5362 5745 6894 7660 8043 10724 11490 13405 13788 16086 17235 22980 24129 26810 32172 34470 40215 48258 53620 56519 68940 80430 96516 113038 120645 160860 169557 226076 241290 282595 339114 395633 482580 508671 565190 678228 791266 847785 1017342 1130380 1186899 1582532 1695570 1978165 2034684 2373798 2543355 3391140 3560697 3956330 4747596 5086710 5934495 7121394 7912660 10173420 11868990 14242788 17803485 21646777 23737980 35606970 43293554 64940331 71213940 86587108 108233885 129880662 151527439 194820993 216467770 259761324 303054878 324701655 389641986 432935540 454582317 606109756 649403310 757637195 779283972 909164634 974104965 1298806620 1363746951 1515274390 1818329268 1948209930 2272911585 2727493902 3030548780 3896419860 4545823170 5454987804 6818734755 9091646340 13637469510 27274939020