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12976627356 = 2234711618527
BaseRepresentation
bin11000001010111011…
…11001111010011100
31020111100210222020000
430011131321322130
5203034004033411
65543354054300
7636400340550
oct140535717234
936440728200
1012976627356
115559a71220
122621a1a390
1312ba5aa434
148b1603860
1550e386956
hex305779e9c

12976627356 has 240 divisors, whose sum is σ = 42992581632. Its totient is φ = 3314908800.

The previous prime is 12976627351. The next prime is 12976627379. The reversal of 12976627356 is 65372667921.

12976627356 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 6 + 627 + 3 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12976627351) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1517565 + ... + 1526091.

Almost surely, 212976627356 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 12976627356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21496290816).

12976627356 is an abundant number, since it is smaller than the sum of its proper divisors (30015954276).

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

12976627356 is a wasteful number, since it uses less digits than its factorization.

12976627356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8622 (or 8611 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 12976627356 in words is "twelve billion, nine hundred seventy-six million, six hundred twenty-seven thousand, three hundred fifty-six".