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12685541022 = 23271121814597
BaseRepresentation
bin10111101000001110…
…11111111010011110
31012202002002020211200
423310013133322132
5201434444303042
65454435100330
7626234214420
oct136407377236
935662066750
1012685541022
11541a725800
1225604416a6
1312721b08bb
14884ab0810
154e3a38c4c
hex2f41dfe9e

12685541022 has 144 divisors (see below), whose sum is σ = 34725346656. Its totient is φ = 3276028800.

The previous prime is 12685540997. The next prime is 12685541027. The reversal of 12685541022 is 22014558621.

12685541022 is a `hidden beast` number, since 12 + 6 + 85 + 541 + 0 + 22 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12685541027) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2757228 + ... + 2761824.

Almost surely, 212685541022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12685541022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17362673328).

12685541022 is an abundant number, since it is smaller than the sum of its proper divisors (22039805634).

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

12685541022 is a wasteful number, since it uses less digits than its factorization.

12685541022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4815 (or 4801 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 12685541022 in words is "twelve billion, six hundred eighty-five million, five hundred forty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 181 198 231 242 362 363 462 543 693 726 847 1086 1089 1267 1386 1629 1694 1991 2178 2534 2541 3258 3801 3982 4597 5082 5973 7602 7623 9194 11403 11946 13791 13937 15246 17919 21901 22806 27582 27874 32179 35838 41373 41811 43802 50567 64358 65703 82746 83622 96537 101134 125433 131406 151701 153307 193074 197109 250866 289611 303402 306614 353969 394218 455103 459921 556237 579222 707938 832057 910206 919842 1061907 1112474 1379763 1664114 1668711 2123814 2496171 2759526 3185721 3337422 3893659 4992342 5006133 5824399 6371442 7488513 7787318 9152627 10012266 11648798 11680977 14977026 17473197 18305254 23361954 27457881 34946394 35042931 52419591 54915762 64068389 70085862 82373643 100678897 104839182 128136778 164747286 192205167 201357794 302036691 384410334 576615501 604073382 704752279 906110073 1153231002 1409504558 1812220146 2114256837 4228513674 6342770511 12685541022