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12760863066 = 233759356929
BaseRepresentation
bin10111110001001101…
…10101000101011010
31012221022211000021000
423320212311011122
5202113240104231
65510125325430
7631140355260
oct137046650532
935838730230
1012760863066
1154591a1326
122581706876
131284993963
14890aba430
154ea4666e6
hex2f89b515a

12760863066 has 64 divisors (see below), whose sum is σ = 32463763200. Its totient is φ = 3639748608.

The previous prime is 12760863061. The next prime is 12760863103. The reversal of 12760863066 is 66036806721.

12760863066 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 0 + 8 + 630 + 6 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (12760863061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195690 + ... + 252618.

It is an arithmetic number, because the mean of its divisors is an integer number (507246300).

Almost surely, 212760863066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12760863066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16231881600).

12760863066 is an abundant number, since it is smaller than the sum of its proper divisors (19702900134).

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

12760863066 is a wasteful number, since it uses less digits than its factorization.

12760863066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57540 (or 57534 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

It can be divided in two parts, 12760 and 863066, that added together give a triangular number (875826 = T1323).

The spelling of 12760863066 in words is "twelve billion, seven hundred sixty million, eight hundred sixty-three thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 593 1186 1779 3558 4151 5337 8302 10674 12453 16011 24906 32022 37359 56929 74718 112077 113858 170787 224154 341574 398503 512361 797006 1024722 1195509 1537083 2391018 3074166 3586527 7173054 10759581 21519162 33758897 67517794 101276691 202553382 236312279 303830073 472624558 607660146 708936837 911490219 1417873674 1822980438 2126810511 4253621022 6380431533 12760863066