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12976514882344 = 23134111326931617
BaseRepresentation
bin1011110011010101010010…
…0011110101101100101000
31200221112122122002221101001
42330311110203311230220
53200101400302213334
643333154553004344
72506344064400536
oct274652443655450
950845578087331
1012976514882344
114153344399252
121556b286b36b4
137318ac2550b0
1432c0d0d37156
1517783799d714
hexbcd548f5b28

12976514882344 has 64 divisors (see below), whose sum is σ = 27079203266640. Its totient is φ = 5791374704640.

The previous prime is 12976514882341. The next prime is 12976514882347. The reversal of 12976514882344 is 44328841567921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12976514882341) and next prime (12976514882347).

It can be written as a sum of positive squares in 8 ways, for example, as 1759628780100 + 11216886102244 = 1326510^2 + 3349162^2 .

It is not an unprimeable number, because it can be changed into a prime (12976514882341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12983977 + ... + 13947640.

Almost surely, 212976514882344 is an apocalyptic number.

It is an amenable number.

12976514882344 is an abundant number, since it is smaller than the sum of its proper divisors (14102688384296).

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

12976514882344 is a wasteful number, since it uses less digits than its factorization.

12976514882344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26931790 (or 26931786 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 64.

The spelling of 12976514882344 in words is "twelve trillion, nine hundred seventy-six billion, five hundred fourteen million, eight hundred eighty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 41 52 82 104 113 164 226 328 452 533 904 1066 1469 2132 2938 4264 4633 5876 9266 11752 18532 37064 60229 120458 240916 481832 26931617 53863234 107726468 215452936 350111021 700222042 1104196297 1400444084 2208392594 2800888168 3043272721 4416785188 6086545442 8833570376 12173090884 14354551861 24346181768 28709103722 39562545373 57418207444 79125090746 114836414888 124774181561 158250181492 249548363122 316500362984 499096726244 998193452488 1622064360293 3244128720586 6488257441172 12976514882344