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9913104396 = 2232131710312097
BaseRepresentation
bin10010011101101110…
…11111100000001100
3221120212020212202200
421032313133200030
5130300223320041
64315400121500
7500440665666
oct111667374014
927525225680
109913104396
114227764068
121b07a66290
13c1c9b4560
146a07c3536
153d04461b6
hex24eddf80c

9913104396 has 144 divisors (see below), whose sum is σ = 28852858944. Its totient is φ = 2842656768.

The previous prime is 9913104389. The next prime is 9913104427. The reversal of 9913104396 is 6934013199.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 813420 + ... + 825516.

It is an arithmetic number, because the mean of its divisors is an integer number (200367076).

Almost surely, 29913104396 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 9913104396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14426429472).

9913104396 is an abundant number, since it is smaller than the sum of its proper divisors (18939754548).

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

9913104396 is a wasteful number, since it uses less digits than its factorization.

9913104396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12240 (or 12235 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 9913104396 is about 99564.5740009970. The cubic root of 9913104396 is about 2148.1761634698.

The spelling of 9913104396 in words is "nine billion, nine hundred thirteen million, one hundred four thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 103 117 153 156 204 206 221 234 306 309 412 442 468 612 618 663 884 927 1236 1326 1339 1751 1854 1989 2652 2678 3502 3708 3978 4017 5253 5356 7004 7956 8034 10506 12051 12097 15759 16068 21012 22763 24102 24194 31518 36291 45526 48204 48388 63036 68289 72582 91052 108873 136578 145164 157261 204867 205649 217746 273156 314522 409734 411298 435492 471783 616947 629044 819468 822596 943566 1233894 1245991 1415349 1850841 1887132 2467788 2491982 2673437 2830698 3701682 3737973 4983964 5346874 5661396 7403364 7475946 8020311 10693748 11213919 14951892 16040622 16197883 21181847 22427838 24060933 32081244 32395766 42363694 44855676 48121866 48593649 63545541 64791532 84727388 96243732 97187298 127091082 145780947 190636623 194374596 254182164 275364011 291561894 381273246 550728022 583123788 762546492 826092033 1101456044 1652184066 2478276099 3304368132 4956552198 9913104396