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12274872381 = 331063427681
BaseRepresentation
bin10110110111010001…
…11011000000111101
31011200110100010101000
423123220323000331
5200114331404011
65350005040513
7613116456642
oct133350730075
934613303330
1012274872381
115229933332
1224669b6139
1312080a52c5
1484632ddc9
154bc969356
hex2dba3b03d

12274872381 has 16 divisors (see below), whose sum is σ = 18202145920. Its totient is φ = 8175530880.

The previous prime is 12274872361. The next prime is 12274872383. The reversal of 12274872381 is 18327847221.

12274872381 is a `hidden beast` number, since 1 + 227 + 48 + 7 + 2 + 381 = 666.

It is not a de Polignac number, because 12274872381 - 26 = 12274872317 is a prime.

It is a super-2 number, since 2×122748723812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12274872383) 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 15 ways as a sum of consecutive naturals, for example, 185140 + ... + 242541.

It is an arithmetic number, because the mean of its divisors is an integer number (1137634120).

Almost surely, 212274872381 is an apocalyptic number.

It is an amenable number.

12274872381 is a deficient number, since it is larger than the sum of its proper divisors (5927273539).

12274872381 is a wasteful number, since it uses less digits than its factorization.

12274872381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428753 (or 428747 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The spelling of 12274872381 in words is "twelve billion, two hundred seventy-four million, eight hundred seventy-two thousand, three hundred eighty-one".

Divisors: 1 3 9 27 1063 3189 9567 28701 427681 1283043 3849129 11547387 454624903 1363874709 4091624127 12274872381