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12953107272 = 2337219579713
BaseRepresentation
bin11000001000001000…
…01011101101001000
31020102201120000201210
430010010023231020
5203011443413042
65541154013120
7635663411100
oct140404135510
936381500653
1012953107272
115547767236
122615b771a0
1312b5763a21
148ac440200
1550c28ca9c
hex30410bb48

12953107272 has 96 divisors (see below), whose sum is σ = 39652437600. Its totient is φ = 3506098176.

The previous prime is 12953107261. The next prime is 12953107273. The reversal of 12953107272 is 27270135921.

It is a self number, because there is not a number n which added to its sum of digits gives 12953107272.

It is not an unprimeable number, because it can be changed into a prime (12953107273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267513 + ... + 312200.

It is an arithmetic number, because the mean of its divisors is an integer number (413046225).

Almost surely, 212953107272 is an apocalyptic number.

12953107272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12953107272 is an abundant number, since it is smaller than the sum of its proper divisors (26699330328).

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

12953107272 is a wasteful number, since it uses less digits than its factorization.

12953107272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579755 (or 579744 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 12953107272 in words is "twelve billion, nine hundred fifty-three million, one hundred seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 392 399 456 532 588 798 931 1064 1176 1596 1862 2793 3192 3724 5586 7448 11172 22344 579713 1159426 1739139 2318852 3478278 4057991 4637704 6956556 8115982 11014547 12173973 13913112 16231964 22029094 24347946 28405937 32463928 33043641 44058188 48695892 56811874 66087282 77101829 85217811 88116376 97391784 113623748 132174564 154203658 170435622 227247496 231305487 264349128 308407316 340871244 462610974 539712803 616814632 681742488 925221948 1079425606 1619138409 1850443896 2158851212 3238276818 4317702424 6476553636 12953107272