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12057367868 = 2273132149349
BaseRepresentation
bin10110011101010110…
…01101010100111100
31011010022001202021022
423032223031110330
5144143141232433
65312235123312
7604535636000
oct131653152474
934108052238
1012057367868
115128084a37
122405ba3538
1311a1ccc700
148254b2700
154a8803698
hex2ceacd53c

12057367868 has 144 divisors (see below), whose sum is σ = 26901000000. Its totient is φ = 4724358912.

The previous prime is 12057367841. The next prime is 12057367873. The reversal of 12057367868 is 86876375021.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 34548158 + ... + 34548506.

It is an arithmetic number, because the mean of its divisors is an integer number (186812500).

Almost surely, 212057367868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12057367868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13450500000).

12057367868 is an abundant number, since it is smaller than the sum of its proper divisors (14843632132).

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

12057367868 is a wasteful number, since it uses less digits than its factorization.

12057367868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 53.

The spelling of 12057367868 in words is "twelve billion, fifty-seven million, three hundred sixty-seven thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 149 169 182 196 298 338 343 349 364 596 637 676 686 698 1043 1183 1274 1372 1396 1937 2086 2366 2443 2548 3874 4172 4459 4537 4732 4886 7301 7748 8281 8918 9074 9772 13559 14602 16562 17101 17836 18148 25181 27118 29204 31759 33124 34202 50362 51107 52001 54236 57967 58981 63518 68404 94913 100724 102214 104002 115934 117962 119707 127036 176267 189826 204428 208004 222313 231868 235924 239414 352534 364007 379652 412867 444626 478828 664391 676013 705068 728014 825734 889252 1233869 1328782 1352026 1456028 1556191 1651468 2467738 2548049 2657564 2704052 2890069 3112382 4732091 4935476 5096098 5780138 6224764 8637083 8788169 9464182 10192196 11560276 17274166 17576338 17836343 18928364 20230483 33124637 34548332 35152676 35672686 40460966 61517183 66249274 71345372 80921932 123034366 132498548 231872459 246068732 430620281 463744918 861240562 927489836 1722481124 3014341967 6028683934 12057367868