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13006642460 = 2257362325643
BaseRepresentation
bin11000001110100000…
…11001110100011100
31020120110021220012112
430013100121310130
5203114200024320
65550345253152
7640213431260
oct140720316434
936513256175
1013006642460
115574a01a99
12262ba941b8
1312c3889256
148b55b80a0
15511d14ec5
hex307419d1c

13006642460 has 48 divisors (see below), whose sum is σ = 31225775616. Its totient is φ = 4458015552.

The previous prime is 13006642459. The next prime is 13006642487. The reversal of 13006642460 is 6424660031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494399 + ... + 520041.

It is an arithmetic number, because the mean of its divisors is an integer number (650536992).

Almost surely, 213006642460 is an apocalyptic number.

13006642460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13006642460 is an abundant number, since it is smaller than the sum of its proper divisors (18219133156).

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

13006642460 is a wasteful number, since it uses less digits than its factorization.

13006642460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29282 (or 29280 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 13006642460 in words is "thirteen billion, six million, six hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 3623 7246 14492 18115 25361 25643 36230 50722 51286 72460 101444 102572 126805 128215 179501 253610 256430 359002 507220 512860 718004 897505 1795010 3590020 92904589 185809178 371618356 464522945 650332123 929045890 1300664246 1858091780 2601328492 3251660615 6503321230 13006642460