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18743744768 = 28731794271
BaseRepresentation
bin10001011101001101…
…101101100100000000
31210101021122220001012
4101131031231210000
5301341344313033
612335531300052
71232326126130
oct213515554400
953337586035
1018743744768
117a4939a961
1237712aa628
1319c9347b48
14c9b510ac0
1574a81c248
hex45d36d900

18743744768 has 144 divisors (see below), whose sum is σ = 44707676160. Its totient is φ = 7673702400.

The previous prime is 18743744759. The next prime is 18743744779. The reversal of 18743744768 is 86744734781.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4386473 + ... + 4390743.

Almost surely, 218743744768 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 18743744768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22353838080).

18743744768 is an abundant number, since it is smaller than the sum of its proper divisors (25963931392).

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

18743744768 is an equidigital number, since it uses as much as digits as its factorization.

18743744768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404 (or 4390 counting only the distinct ones).

The product of its digits is 25288704, while the sum is 59.

The spelling of 18743744768 in words is "eighteen billion, seven hundred forty-three million, seven hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 79 112 124 128 158 217 224 248 256 316 434 448 496 553 632 868 896 992 1106 1264 1736 1792 1984 2212 2449 2528 3472 3968 4271 4424 4898 5056 6944 7936 8542 8848 9796 10112 13888 17084 17143 17696 19592 20224 27776 29897 34168 34286 35392 39184 55552 59794 68336 68572 70784 78368 119588 132401 136672 137144 141568 156736 239176 264802 273344 274288 313472 337409 478352 529604 546688 548576 626944 674818 926807 956704 1059208 1093376 1097152 1349636 1853614 1913408 2118416 2194304 2361863 2699272 3707228 3826816 4236832 4388608 4723726 5398544 7414456 7653632 8473664 9447452 10459679 10797088 14828912 16947328 18894904 20919358 21594176 29657824 33894656 37789808 41838716 43188352 59315648 73217753 75579616 83677432 86376704 118631296 146435506 151159232 167354864 237262592 292871012 302318464 334709728 585742024 604636928 669419456 1171484048 1338838912 2342968096 2677677824 4685936192 9371872384 18743744768