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12922915041 = 341727432
BaseRepresentation
bin11000000100100010…
…00000100011100001
31020100121202002210000
430002101000203201
5202431231240131
65534154530213
7635145652101
oct140221004341
936317662700
1012922915041
115531715383
122607a36969
1312ac4223ba
148a8421201
155097c6ce6
hex3024408e1

12922915041 has 45 divisors (see below), whose sum is σ = 20534601571. Its totient is φ = 8097582528.

The previous prime is 12922915021. The next prime is 12922915051. The reversal of 12922915041 is 14051922921.

The square root of 12922915041 is 113679.

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

12922915041 is a `hidden beast` number, since 129 + 2 + 29 + 1 + 504 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10061093025 + 2861822016 = 100305^2 + 53496^2 .

It is not a de Polignac number, because 12922915041 - 211 = 12922912993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12922914987 and 12922915005.

It is not an unprimeable number, because it can be changed into a prime (12922915021) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17392516 + ... + 17393258.

Almost surely, 212922915041 is an apocalyptic number.

12922915041 is the 113679-th square number.

12922915041 is the 56840-th centered octagonal number.

It is an amenable number.

12922915041 is a deficient number, since it is larger than the sum of its proper divisors (7611686530).

12922915041 is an frugal number, since it uses more digits than its factorization.

12922915041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Multiplying 12922915041 by its sum of digits (36), we get a square (465224941476 = 6820742).

The spelling of 12922915041 in words is "twelve billion, nine hundred twenty-two million, nine hundred fifteen thousand, forty-one".

Divisors: 1 3 9 17 27 51 81 153 289 459 743 867 1377 2229 2601 6687 7803 12631 20061 23409 37893 60183 113679 214727 341037 552049 644181 1023111 1656147 1932543 4968441 5797629 9384833 14905323 17392887 28154499 44715969 84463497 159542161 253390491 478626483 760171473 1435879449 4307638347 12922915041