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34729790624 = 254126470877
BaseRepresentation
bin100000010110000011…
…101000110010100000
310022122101020011100122
4200112003220302200
51032111311244444
623542111535412
72336431230614
oct402603506240
9108571204318
1034729790624
1113802074801
126892b2a568
133376256789
14197668d344
15d83ea84ee
hex8160e8ca0

34729790624 has 24 divisors (see below), whose sum is σ = 70041943188. Its totient is φ = 16941360640.

The previous prime is 34729790609. The next prime is 34729790629. The reversal of 34729790624 is 42609792743.

It can be written as a sum of positive squares in 2 ways, for example, as 21765691024 + 12964099600 = 147532^2 + 113860^2 .

It is not an unprimeable number, because it can be changed into a prime (34729790629) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13234127 + ... + 13236750.

Almost surely, 234729790624 is an apocalyptic number.

It is an amenable number.

34729790624 is an abundant number, since it is smaller than the sum of its proper divisors (35312152564).

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

34729790624 is a wasteful number, since it uses less digits than its factorization.

34729790624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26470928 (or 26470920 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 53.

The spelling of 34729790624 in words is "thirty-four billion, seven hundred twenty-nine million, seven hundred ninety thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 26470877 52941754 105883508 211767016 423534032 847068064 1085305957 2170611914 4341223828 8682447656 17364895312 34729790624