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12055991688 = 23321361211153
BaseRepresentation
bin10110011101001011…
…11101010110001000
31011010012110211111200
423032211331112020
5144142313213223
65312145424200
7604521144546
oct131645752610
934105424450
1012055991688
115127324aa4
12240563b060
1311a193a1c0
14825234d96
154a8630a43
hex2ce97d588

12055991688 has 96 divisors (see below), whose sum is σ = 35739926040. Its totient is φ = 3648706560.

The previous prime is 12055991669. The next prime is 12055991699. The reversal of 12055991688 is 88619955021.

12055991688 is a `hidden beast` number, since 1 + 2 + 0 + 559 + 9 + 1 + 6 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8189888004 + 3866103684 = 90498^2 + 62178^2 .

It is a super-2 number, since 2×120559916882 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48481 + ... + 162672.

Almost surely, 212055991688 is an apocalyptic number.

12055991688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12055991688 is an abundant number, since it is smaller than the sum of its proper divisors (23683934352).

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

12055991688 is a wasteful number, since it uses less digits than its factorization.

12055991688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211239 (or 211232 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 12055991688 in words is "twelve billion, fifty-five million, nine hundred ninety-one thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 61 72 78 104 117 122 156 183 234 244 312 366 468 488 549 732 793 936 1098 1464 1586 2196 2379 3172 4392 4758 6344 7137 9516 14274 19032 28548 57096 211153 422306 633459 844612 1266918 1689224 1900377 2533836 2744989 3800754 5067672 5489978 7601508 8234967 10979956 12880333 15203016 16469934 21959912 24704901 25760666 32939868 38640999 49409802 51521332 65879736 77281998 98819604 103042664 115922997 154563996 167444329 197639208 231845994 309127992 334888658 463691988 502332987 669777316 927383976 1004665974 1339554632 1506998961 2009331948 3013997922 4018663896 6027995844 12055991688