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10073437738 = 2721329377369
BaseRepresentation
bin10010110000110110…
…00111011000101010
3222000000221122202121
421120123013120222
5131112300001423
64343324421454
7504425544100
oct113033073052
928000848677
1010073437738
1142aa213961
121b516a788a
13c46c90960
146b7bdbc70
153de56745d
hex2586c762a

10073437738 has 96 divisors (see below), whose sum is σ = 20113909200. Its totient is φ = 3743179776.

The previous prime is 10073437697. The next prime is 10073437741. The reversal of 10073437738 is 83773437001.

It can be written as a sum of positive squares in 8 ways, for example, as 7854745129 + 2218692609 = 88627^2 + 47103^2 .

It is a super-2 number, since 2×100734377382 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10073437694 and 10073437703.

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, 1363318 + ... + 1370686.

Almost surely, 210073437738 is an apocalyptic number.

10073437738 is a deficient number, since it is larger than the sum of its proper divisors (10040471462).

10073437738 is a wasteful number, since it uses less digits than its factorization.

10073437738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7464 (or 7457 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 43.

The spelling of 10073437738 in words is "ten billion, seventy-three million, four hundred thirty-seven thousand, seven hundred thirty-eight".

Divisors: 1 2 7 13 14 26 29 37 49 58 74 91 98 182 203 259 377 406 481 518 637 754 962 1073 1274 1421 1813 2146 2639 2842 3367 3626 5278 6734 7369 7511 13949 14738 15022 18473 23569 27898 36946 47138 51583 52577 95797 97643 103166 105154 191594 195286 213701 272653 361081 427402 545306 670579 683501 722162 1341158 1367002 1495907 1908571 2778113 2991814 3544489 3817142 4694053 5556226 7088978 7906937 9388106 10471349 13359997 15813874 19446791 20942698 24811423 26719994 38893582 49622846 55348559 102790181 110697118 136127537 173679961 205580362 272255074 347359922 387439913 719531267 774879826 1439062534 5036718869 10073437738