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12774052152 = 2332177417391
BaseRepresentation
bin10111110010110010…
…01001000100111000
31012222020122002021200
423321121021010320
5202130124132102
65511320134200
7631360436361
oct137131110470
935866562250
1012774052152
11546568a4a4
122586007360
131287630c54
14892750b68
154eb6be51c
hex2f9649138

12774052152 has 24 divisors (see below), whose sum is σ = 34596391440. Its totient is φ = 4258017360.

The previous prime is 12774052147. The next prime is 12774052157. The reversal of 12774052152 is 25125047721.

12774052152 is a `hidden beast` number, since 12 + 7 + 74 + 0 + 521 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (12774052147) and next prime (12774052157).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×127740521522 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12774052157) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 88708624 + ... + 88708767.

It is an arithmetic number, because the mean of its divisors is an integer number (1441516310).

Almost surely, 212774052152 is an apocalyptic number.

12774052152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12774052152 is an abundant number, since it is smaller than the sum of its proper divisors (21822339288).

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

12774052152 is a wasteful number, since it uses less digits than its factorization.

12774052152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177417403 (or 177417396 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

Adding to 12774052152 its reverse (25125047721), we get a palindrome (37899099873).

The spelling of 12774052152 in words is "twelve billion, seven hundred seventy-four million, fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 177417391 354834782 532252173 709669564 1064504346 1419339128 1596756519 2129008692 3193513038 4258017384 6387026076 12774052152