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13010974272 = 2635836611
BaseRepresentation
bin11000001111000001…
…11011011001000000
31020120202102222100000
430013200323121000
5203121302134042
65551022200000
7640265312412
oct140740733100
936522388300
1013010974272
1155773a05aa
122631423000
1312c4744b5a
148b5dc49b2
155123bd74c
hex30783b640

13010974272 has 84 divisors (see below), whose sum is σ = 38674899536. Its totient is φ = 4336986240.

The previous prime is 13010974231. The next prime is 13010974303. The reversal of 13010974272 is 27247901031.

13010974272 is a `hidden beast` number, since 130 + 10 + 97 + 427 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 402754 + ... + 433857.

Almost surely, 213010974272 is an apocalyptic number.

13010974272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13010974272 is an abundant number, since it is smaller than the sum of its proper divisors (25663925264).

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

13010974272 is an frugal number, since it uses more digits than its factorization.

13010974272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836638 (or 836616 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 13010974272 in words is "thirteen billion, ten million, nine hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 15552 836611 1673222 2509833 3346444 5019666 6692888 7529499 10039332 13385776 15058998 20078664 22588497 26771552 30117996 40157328 45176994 53543104 60235992 67765491 80314656 90353988 120471984 135530982 160629312 180707976 203296473 240943968 271061964 361415952 406592946 481887936 542123928 722831904 813185892 1084247856 1445663808 1626371784 2168495712 3252743568 4336991424 6505487136 13010974272