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2513899264 = 28231093917
BaseRepresentation
bin1001010111010111…
…0000111100000000
320111012100022111011
42111311300330000
520122024234024
61053241330304
7116203535242
oct22565607400
96435308434
102513899264
1110800377a8
125a1a96994
13310a87a76
1419bc2c092
15eaa74094
hex95d70f00

2513899264 has 72 divisors (see below), whose sum is σ = 5285538720. Its totient is φ = 1190965248.

The previous prime is 2513899261. The next prime is 2513899313. The reversal of 2513899264 is 4629983152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513899261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 639834 + ... + 643750.

It is an arithmetic number, because the mean of its divisors is an integer number (73410260).

Almost surely, 22513899264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2513899264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642769360).

2513899264 is an abundant number, since it is smaller than the sum of its proper divisors (2771639456).

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

2513899264 is a wasteful number, since it uses less digits than its factorization.

2513899264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4065 (or 4051 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

The square root of 2513899264 is about 50138.7999856399. The cubic root of 2513899264 is about 1359.7193884716.

The spelling of 2513899264 in words is "two billion, five hundred thirteen million, eight hundred ninety-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 109 128 184 218 256 368 436 736 872 1472 1744 2507 2944 3488 3917 5014 5888 6976 7834 10028 13952 15668 20056 27904 31336 40112 62672 80224 90091 125344 160448 180182 250688 320896 360364 426953 501376 641792 720728 853906 1002752 1441456 1707812 2882912 3415624 5765824 6831248 9819919 11531648 13662496 19639838 23063296 27324992 39279676 54649984 78559352 109299968 157118704 314237408 628474816 1256949632 2513899264