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10642660641132 = 223131163470312473
BaseRepresentation
bin1001101011011111000000…
…0000011100100101101100
31101200102120022121102022020
42122313300000130211230
52343332132111004012
634345100520550140
72145623023561332
oct232676000344554
941612508542266
1010642660641132
113433588529723
12123a751622350
135c27a2150c40
1428b171089b52
15136c90155a8c
hex9adf001c96c

10642660641132 has 96 divisors (see below), whose sum is σ = 26773928552448. Its totient is φ = 3270891154944.

The previous prime is 10642660641113. The next prime is 10642660641187. The reversal of 10642660641132 is 23114606624601.

It is a super-2 number, since 2×106426606411322 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 853249648 + ... + 853262120.

It is an arithmetic number, because the mean of its divisors is an integer number (278895089088).

Almost surely, 210642660641132 is an apocalyptic number.

10642660641132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10642660641132 is an abundant number, since it is smaller than the sum of its proper divisors (16131267911316).

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

10642660641132 is a wasteful number, since it uses less digits than its factorization.

10642660641132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18359 (or 18357 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 10642660641132 in words is "ten trillion, six hundred forty-two billion, six hundred sixty million, six hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 1163 2326 3489 4652 4703 6978 9406 12473 13956 14109 15119 18812 24946 28218 30238 37419 45357 49892 56436 60476 61139 74838 90714 122278 149676 162149 181428 183417 244556 324298 366834 486447 648596 733668 972894 1945788 5469589 10939178 14506099 16408767 21878356 29012198 32817534 43518297 58024396 58660519 65635068 71104657 87036594 117321038 142209314 174073188 175981557 188579287 213313971 234642076 284418628 351963114 377158574 426627942 565737861 703926228 754317148 762586747 853255884 1131475722 1525173494 2262951444 2287760241 3050346988 4575520482 9151040964 68222183597 136444367194 204666550791 272888734388 409333101582 818666203164 886888386761 1773776773522 2660665160283 3547553547044 5321330320566 10642660641132