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23129296736 = 257313237337
BaseRepresentation
bin10101100010100111…
…010000111101100000
32012200220212000100212
4111202213100331200
5334332044443421
614343033033252
71446110531000
oct254247207540
965626760325
1023129296736
119899980a77
124595b55828
132247abc800
141195b48000
1590584ee5b
hex5629d0f60

23129296736 has 288 divisors, whose sum is σ = 59231390400. Its totient is φ = 8876335104.

The previous prime is 23129296721. The next prime is 23129296741. The reversal of 23129296736 is 63769292132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68632760 + ... + 68633096.

It is an arithmetic number, because the mean of its divisors is an integer number (205664550).

Almost surely, 223129296736 is an apocalyptic number.

23129296736 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23129296736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29615695200).

23129296736 is an abundant number, since it is smaller than the sum of its proper divisors (36102093664).

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

23129296736 is a wasteful number, since it uses less digits than its factorization.

23129296736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 396 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 50.

The spelling of 23129296736 in words is "twenty-three billion, one hundred twenty-nine million, two hundred ninety-six thousand, seven hundred thirty-six".