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1024427106612 = 22327131718394511
BaseRepresentation
bin11101110100001001001…
…11010010000100110100
310121221020002100000022100
432322010213102010310
5113241011314402422
62102340524102100
7134004154506210
oct16720447220464
93557202300270
101024427106612
11365503438708
1214665a694930
13757abc07490
14378226a1940
151b9aaec27ac
hexee849d2134

1024427106612 has 144 divisors (see below), whose sum is σ = 3374583593472. Its totient is φ = 254285706240.

The previous prime is 1024427106611. The next prime is 1024427106623. The reversal of 1024427106612 is 2166017244201.

1024427106612 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 4 + 27 + 10 + 6 + 612 = 666.

It is a super-2 number, since 2×10244271066122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024427106611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9141564 + ... + 9252947.

It is an arithmetic number, because the mean of its divisors is an integer number (23434608288).

Almost surely, 21024427106612 is an apocalyptic number.

1024427106612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1024427106612 is an abundant number, since it is smaller than the sum of its proper divisors (2350156486860).

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

1024427106612 is a wasteful number, since it uses less digits than its factorization.

1024427106612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18394558 (or 18394553 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1024427106612 in words is "one trillion, twenty-four billion, four hundred twenty-seven million, one hundred six thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 17 18 21 26 28 34 36 39 42 51 52 63 68 78 84 91 102 117 119 126 153 156 182 204 221 234 238 252 273 306 357 364 442 468 476 546 612 663 714 819 884 1071 1092 1326 1428 1547 1638 1989 2142 2652 3094 3276 3978 4284 4641 6188 7956 9282 13923 18564 27846 55692 18394511 36789022 55183533 73578044 110367066 128761577 165550599 220734132 239128643 257523154 312706687 331101198 386284731 478257286 515046308 625413374 662202396 717385929 772569462 938120061 956514572 1158854193 1250826748 1434771858 1545138924 1673900501 1876240122 2152157787 2188946809 2317708386 2814360183 2869543716 3347801002 3752480244 4065186931 4304315574 4377893618 4635416772 5021701503 5628720366 6566840427 6695602004 8130373862 8608631148 8755787236 10043403006 11257440732 12195560793 13133680854 15065104509 16260747724 19700521281 20086806012 24391121586 26267361708 28456308517 30130209018 36586682379 39401042562 48782243172 56912617034 60260418036 73173364758 78802085124 85368925551 113825234068 146346729516 170737851102 256106776653 341475702204 512213553306 1024427106612