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19961399172 = 223111326114669
BaseRepresentation
bin10010100101110010…
…101100011110000100
31220112010220010212110
4102211302230132010
5311340104233142
613100430021020
71304443044021
oct224562543604
956463803773
1019961399172
118513764710
123a51047770
131b616b0c00
14d75118548
157bc69399c
hex4a5cac784

19961399172 has 144 divisors (see below), whose sum is σ = 55925795520. Its totient is φ = 5491699200.

The previous prime is 19961399147. The next prime is 19961399191. The reversal of 19961399172 is 27199316991.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1353454 + ... + 1368122.

It is an arithmetic number, because the mean of its divisors is an integer number (388373580).

Almost surely, 219961399172 is an apocalyptic number.

19961399172 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 19961399172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27962897760).

19961399172 is an abundant number, since it is smaller than the sum of its proper divisors (35964396348).

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

19961399172 is a wasteful number, since it uses less digits than its factorization.

19961399172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14774 (or 14759 counting only the distinct ones).

The product of its digits is 1653372, while the sum is 57.

The spelling of 19961399172 in words is "nineteen billion, nine hundred sixty-one million, three hundred ninety-nine thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 61 66 78 122 132 143 156 169 183 244 286 338 366 429 507 572 671 676 732 793 858 1014 1342 1586 1716 1859 2013 2028 2379 2684 3172 3718 4026 4758 5577 7436 8052 8723 9516 10309 11154 14669 17446 20618 22308 26169 29338 30927 34892 41236 44007 52338 58676 61854 88014 104676 113399 123708 161359 176028 190697 226798 322718 340197 381394 453596 484077 572091 645436 680394 762788 894809 968154 1144182 1360788 1789618 1936308 2097667 2288364 2479061 2684427 3579236 4195334 4958122 5368854 6293001 7437183 8390668 9842899 9916244 10737708 11632517 12586002 14874366 19685798 23265034 25172004 27269671 29528697 29748732 34897551 39371596 46530068 54539342 59057394 69795102 81809013 109078684 118114788 127957687 139590204 151222721 163618026 255915374 302445442 327236052 383873061 453668163 511830748 604890884 767746122 907336326 1535492244 1663449931 1814672652 3326899862 4990349793 6653799724 9980699586 19961399172