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12711660516 = 2232192232432
BaseRepresentation
bin10111101011010110…
…01000101111100100
31012210220020021001100
423311223020233210
5202013141114031
65501211000100
7630002221512
oct136553105744
935726207040
1012711660516
115433445765
122569139030
131277727519
1488834d4b2
154e5e97de6
hex2f5ac8be4

12711660516 has 243 divisors, whose sum is σ = 36294608259. Its totient is φ = 3750382944.

The previous prime is 12711660499. The next prime is 12711660527. The reversal of 12711660516 is 61506611721.

It is a happy number.

The square root of 12711660516 is 112746.

It is a perfect power (a square), and thus also a powerful number.

12711660516 is a `hidden beast` number, since 1 + 2 + 71 + 16 + 60 + 516 = 666.

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

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 80 ways as a sum of consecutive naturals, for example, 295619991 + ... + 295620033.

Almost surely, 212711660516 is an apocalyptic number.

12711660516 is the 112746-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12711660516

12711660516 is an abundant number, since it is smaller than the sum of its proper divisors (23582947743).

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

12711660516 is a wasteful number, since it uses less digits than its factorization.

12711660516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Multiplying 12711660516 by its sum of digits (36), we get a square (457619778576 = 6764762).

12711660516 divided by its sum of digits (36) gives a square (353101681 = 187912).

The spelling of 12711660516 in words is "twelve billion, seven hundred eleven million, six hundred sixty thousand, five hundred sixteen".