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12434421681 = 3211409307091
BaseRepresentation
bin10111001010010011…
…00011011110110001
31012002120120001212100
423211021203132301
5200431202443211
65413504451013
7620064561153
oct134511433661
935076501770
1012434421681
1153009a8060
1224b0319a69
131232168886
1485d5c2ad3
154cb983156
hex2e52637b1

12434421681 has 24 divisors (see below), whose sum is σ = 19641604320. Its totient is φ = 7517563200.

The previous prime is 12434421677. The next prime is 12434421709. The reversal of 12434421681 is 18612443421.

12434421681 is a `hidden beast` number, since 1 + 2 + 434 + 4 + 216 + 8 + 1 = 666.

It is not a de Polignac number, because 12434421681 - 22 = 12434421677 is a prime.

It is a super-2 number, since 2×124344216812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12434421641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113055 + ... + 194036.

It is an arithmetic number, because the mean of its divisors is an integer number (818400180).

Almost surely, 212434421681 is an apocalyptic number.

12434421681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12434421681 is a deficient number, since it is larger than the sum of its proper divisors (7207182639).

12434421681 is a wasteful number, since it uses less digits than its factorization.

12434421681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307517 (or 307514 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 12434421681 in words is "twelve billion, four hundred thirty-four million, four hundred twenty-one thousand, six hundred eighty-one".

Divisors: 1 3 9 11 33 99 409 1227 3681 4499 13497 40491 307091 921273 2763819 3378001 10134003 30402009 125600219 376800657 1130401971 1381602409 4144807227 12434421681