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13905105392 = 24174143107271
BaseRepresentation
bin11001111001100111…
…10001000111110000
31022220001220112122102
430330303301013300
5211434201333032
610215442355532
71001403305603
oct147463610760
938801815572
1013905105392
115996084542
12284095bba8
131407a65119
1495ca5433a
15565b3b362
hex33ccf11f0

13905105392 has 160 divisors (see below), whose sum is σ = 30292061184. Its totient is φ = 6154444800.

The previous prime is 13905105373. The next prime is 13905105449. The reversal of 13905105392 is 29350150931.

It is a happy number.

It is a congruent number.

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, 51310217 + ... + 51310487.

Almost surely, 213905105392 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 13905105392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15146030592).

13905105392 is an abundant number, since it is smaller than the sum of its proper divisors (16386955792).

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

13905105392 is a wasteful number, since it uses less digits than its factorization.

13905105392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 38.

The spelling of 13905105392 in words is "thirteen billion, nine hundred five million, one hundred five thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 17 34 41 43 68 82 86 107 136 164 172 214 271 272 328 344 428 542 656 688 697 731 856 1084 1394 1462 1712 1763 1819 2168 2788 2924 3526 3638 4336 4387 4601 4607 5576 5848 7052 7276 8774 9202 9214 11111 11152 11653 11696 14104 14552 17548 18404 18428 22222 23306 28208 28997 29104 29971 35096 36808 36856 44444 46612 57994 59942 70192 73616 73712 74579 78217 88888 93224 115988 119884 149158 156434 177776 186448 188641 188887 198101 231976 239768 298316 312868 377282 377774 396202 463952 477773 479536 492949 596632 625736 754564 755548 792404 955546 985898 1188877 1193264 1246871 1251472 1509128 1511096 1584808 1911092 1971796 2377754 2493742 3018256 3022192 3169616 3206897 3822184 3943592 4755508 4987484 6413794 7644368 7887184 8122141 9511016 9974968 12827588 16244282 19022032 19949936 20210909 21196807 25655176 32488564 40421818 42393614 51121711 51310352 64977128 80843636 84787228 102243422 129954256 161687272 169574456 204486844 323374544 339148912 408973688 817947376 869069087 1738138174 3476276348 6952552696 13905105392