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19904106768 = 24371330714843
BaseRepresentation
bin10010100010011000…
…001001000100010000
31220101011002101110120
4102202120021010100
5311230422404033
613051022030240
71303146054540
oct224230110420
956334071416
1019904106768
118494393017
123a35a18380
131b52871490
14d6b683320
157b76281b3
hex4a2609110

19904106768 has 160 divisors (see below), whose sum is σ = 63495269376. Its totient is φ = 5231983104.

The previous prime is 19904106757. The next prime is 19904106793. The reversal of 19904106768 is 86760140991.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 19904106768.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1333555 + ... + 1348397.

Almost surely, 219904106768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19904106768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31747634688).

19904106768 is an abundant number, since it is smaller than the sum of its proper divisors (43591162608).

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

19904106768 is a wasteful number, since it uses less digits than its factorization.

19904106768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15181 (or 15175 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 19904106768 in words is "nineteen billion, nine hundred four million, one hundred six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 307 312 336 364 546 614 624 728 921 1092 1228 1456 1842 2149 2184 2456 3684 3991 4298 4368 4912 6447 7368 7982 8596 11973 12894 14736 14843 15964 17192 23946 25788 27937 29686 31928 34384 44529 47892 51576 55874 59372 63856 83811 89058 95784 103152 103901 111748 118744 167622 178116 191568 192959 207802 223496 237488 311703 335244 356232 385918 415604 446992 578877 623406 670488 712464 771836 831208 1157754 1246812 1340976 1350713 1543672 1662416 2315508 2493624 2701426 3087344 4052139 4556801 4631016 4987248 5402852 8104278 9113602 9262032 10805704 13670403 16208556 18227204 21611408 27340806 31897607 32417112 36454408 54681612 59238413 63795214 64834224 72908816 95692821 109363224 118476826 127590428 177715239 191385642 218726448 236953652 255180856 355430478 382771284 414668891 473907304 510361712 710860956 765542568 829337782 947814608 1244006673 1421721912 1531085136 1658675564 2488013346 2843443824 3317351128 4976026692 6634702256 9952053384 19904106768