Search a number
-
+
675454135026 = 2311175317365657
BaseRepresentation
bin10011101010001000011…
…01000010101011110010
32101120110120010021001210
421311010031002223302
542031312224310101
61234144354140550
766541245262656
oct11650415025362
92346416107053
10675454135026
11240505282a80
12aaaa8281756
134b90604a598
14249993b4a66
15128841dd7d6
hex9d44342af2

675454135026 has 128 divisors (see below), whose sum is σ = 1599063296256. Its totient is φ = 187912724480.

The previous prime is 675454135007. The next prime is 675454135039. The reversal of 675454135026 is 620531454576.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10254790 + ... + 10320446.

It is an arithmetic number, because the mean of its divisors is an integer number (12492682002).

Almost surely, 2675454135026 is an apocalyptic number.

675454135026 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 675454135026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799531648128).

675454135026 is an abundant number, since it is smaller than the sum of its proper divisors (923609161230).

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

675454135026 is a wasteful number, since it uses less digits than its factorization.

675454135026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65916.

The product of its (nonzero) digits is 3024000, while the sum is 48.

The spelling of 675454135026 in words is "six hundred seventy-five billion, four hundred fifty-four million, one hundred thirty-five thousand, twenty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 53 66 102 106 159 173 187 318 346 374 519 561 583 901 1038 1122 1166 1749 1802 1903 2703 2941 3498 3806 5406 5709 5882 8823 9169 9911 11418 17646 18338 19822 27507 29733 32351 55014 59466 64702 65657 97053 100859 131314 155873 194106 196971 201718 302577 311746 393942 467619 605154 722227 935238 1116169 1444454 1714603 2166681 2232338 3348507 3429206 3479821 4333362 5143809 6697014 6959642 10287618 10439463 11358661 12277859 20878926 22717322 24555718 34075983 36833577 38278031 59156957 68151966 73667154 76556062 114834093 118313914 124945271 177470871 193097237 229668186 249890542 354941742 374835813 386194474 579291711 602009033 650726527 749671626 1158583422 1204018066 1301453054 1806027099 1952179581 2124069607 3612054198 3904359162 4248139214 6372208821 6622099363 10234153561 12744417642 13244198726 19866298089 20468307122 30702460683 39732596178 61404921366 112575689171 225151378342 337727067513 675454135026