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13298974944 = 253433463691
BaseRepresentation
bin11000110001010111…
…00100000011100000
31021022211100220222120
430120223210003200
5204214014144234
610035351104240
7650363264463
oct143053440340
937284326876
1013298974944
115704a19792
1226b1972080
13133c301058
149023532da
1552c80c049
hex318ae40e0

13298974944 has 96 divisors (see below), whose sum is σ = 35116752384. Its totient is φ = 4406814720.

The previous prime is 13298974937. The next prime is 13298974967. The reversal of 13298974944 is 44947989231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×132989749442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19245639 + ... + 19246329.

It is an arithmetic number, because the mean of its divisors is an integer number (365799504).

Almost surely, 213298974944 is an apocalyptic number.

It is an amenable number.

13298974944 is an abundant number, since it is smaller than the sum of its proper divisors (21817777440).

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

13298974944 is a wasteful number, since it uses less digits than its factorization.

13298974944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1592 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 60.

The spelling of 13298974944 in words is "thirteen billion, two hundred ninety-eight million, nine hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 433 463 691 866 926 1299 1382 1389 1732 1852 2073 2598 2764 2778 3464 3704 4146 5196 5528 5556 6928 7408 8292 10392 11056 11112 13856 14816 16584 20784 22112 22224 33168 41568 44448 66336 200479 299203 319933 400958 598406 601437 639866 801916 897609 959799 1196812 1202874 1279732 1603832 1795218 1919598 2393624 2405748 2559464 3207664 3590436 3839196 4787248 4811496 5118928 6415328 7180872 7678392 9574496 9622992 10237856 14361744 15356784 19245984 28723488 30713568 138530989 277061978 415592967 554123956 831185934 1108247912 1662371868 2216495824 3324743736 4432991648 6649487472 13298974944