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10426685607 = 33132931173191
BaseRepresentation
bin10011011010111101…
…01001100010100111
3222220122122111202000
421231132221202213
5132323212414412
64442344020343
7516245236212
oct115536514247
928818574660
1010426685607
114470657248
12202ba616b3
13ca2213270
1470cab2779
154105934dc
hex26d7a98a7

10426685607 has 128 divisors (see below), whose sum is σ = 17960140800. Its totient is φ = 5929459200.

The previous prime is 10426685593. The next prime is 10426685627. The reversal of 10426685607 is 70658662401.

10426685607 is a `hidden beast` number, since 1 + 0 + 4 + 26 + 68 + 560 + 7 = 666.

It is not a de Polignac number, because 10426685607 - 28 = 10426685351 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10426685627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54589882 + ... + 54590072.

It is an arithmetic number, because the mean of its divisors is an integer number (140313600).

Almost surely, 210426685607 is an apocalyptic number.

10426685607 is a deficient number, since it is larger than the sum of its proper divisors (7533455193).

10426685607 is a wasteful number, since it uses less digits than its factorization.

10426685607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 10426685607 in words is "ten billion, four hundred twenty-six million, six hundred eighty-five thousand, six hundred seven".

Divisors: 1 3 9 13 27 29 31 39 87 93 117 173 191 261 279 351 377 403 519 573 783 837 899 1131 1209 1557 1719 2249 2483 2697 3393 3627 4671 5017 5157 5363 5539 5921 6747 7449 8091 10179 10881 11687 15051 16089 16617 17763 20241 22347 24273 33043 35061 45153 48267 49851 53289 60723 65221 67041 69719 72007 76973 99129 105183 135459 144801 149553 155527 159867 171709 195663 209157 216021 230919 297387 315549 429559 466581 515127 586989 627471 648063 692757 892161 958247 1024333 1288677 1399743 1545381 1760967 1882413 1944189 2021851 2078271 2232217 2874741 3072999 3866031 4199229 4636143 6065553 6696651 8624223 9218997 11598093 12457211 13316329 18196659 20089953 25872669 27656991 29705657 37371633 39948987 54589977 60269859 89116971 112114899 119846961 267350913 336344697 359540883 386173541 802052739 1158520623 3475561869 10426685607