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13038257712 = 2431765324469
BaseRepresentation
bin11000010010010010…
…00000011000110000
31020122122210010011210
430021021000120300
5203200243221322
65553435040120
7641046235104
oct141111003060
936578703153
1013038257712
115590835aa7
12263a5a0040
1312ca2a84bc
148b9887904
155149ac70c
hex309240630

13038257712 has 80 divisors (see below), whose sum is σ = 35719544160. Its totient is φ = 4084002816.

The previous prime is 13038257707. The next prime is 13038257731. The reversal of 13038257712 is 21775283031.

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, 520614 + ... + 545082.

It is an arithmetic number, because the mean of its divisors is an integer number (446494302).

Almost surely, 213038257712 is an apocalyptic number.

13038257712 is a gapful number since it is divisible by the number (12) 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 13038257712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17859772080).

13038257712 is an abundant number, since it is smaller than the sum of its proper divisors (22681286448).

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

13038257712 is a wasteful number, since it uses less digits than its factorization.

13038257712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25150 (or 25144 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 13038257712 in words is "thirteen billion, thirty-eight million, two hundred fifty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 653 816 1306 1959 2612 3918 5224 7836 10448 11101 15672 22202 24469 31344 33303 44404 48938 66606 73407 88808 97876 133212 146814 177616 195752 266424 293628 391504 415973 532848 587256 831946 1174512 1247919 1663892 2495838 3327784 4991676 6655568 9983352 15978257 19966704 31956514 47934771 63913028 95869542 127826056 191739084 255652112 271630369 383478168 543260738 766956336 814891107 1086521476 1629782214 2173042952 3259564428 4346085904 6519128856 13038257712