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23434137297 = 36157204749
BaseRepresentation
bin10101110100110010…
…001000111011010001
32020111011110112000000
4111310302020323101
5340443114343142
614433202520213
71456501610664
oct256462107321
966434415000
1023434137297
119a35a6121a
124660066069
132295cc393c
1411c441b6db
159224b814c
hex574c88ed1

23434137297 has 28 divisors (see below), whose sum is σ = 35359096500. Its totient is φ = 15523174368.

The previous prime is 23434137277. The next prime is 23434137313. The reversal of 23434137297 is 79273143432.

23434137297 is a `hidden beast` number, since 2 + 343 + 4 + 13 + 7 + 297 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14132692161 + 9301445136 = 118881^2 + 96444^2 .

It is not a de Polignac number, because 23434137297 - 210 = 23434136273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23434137227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12079 + ... + 216827.

It is an arithmetic number, because the mean of its divisors is an integer number (1262824875).

Almost surely, 223434137297 is an apocalyptic number.

23434137297 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

23434137297 is a deficient number, since it is larger than the sum of its proper divisors (11924959203).

23434137297 is an equidigital number, since it uses as much as digits as its factorization.

23434137297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204924 (or 204909 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The spelling of 23434137297 in words is "twenty-three billion, four hundred thirty-four million, one hundred thirty-seven thousand, two hundred ninety-seven".

Divisors: 1 3 9 27 81 157 243 471 729 1413 4239 12717 38151 114453 204749 614247 1842741 5528223 16584669 32145593 49754007 96436779 149262021 289310337 867931011 2603793033 7811379099 23434137297