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5765859972 = 22322359311743
BaseRepresentation
bin1010101111010110…
…00000101010000100
3112212211111000221100
411113223000222010
543302030004342
62352050220100
7262612000245
oct52753005204
915784430840
105765859972
11249974aa34
12114ab84630
1370b71a282
143c9aa0ccc
1523b2d7e4c
hex157ac0a84

5765859972 has 72 divisors (see below), whose sum is σ = 15235444224. Its totient is φ = 1835133696.

The previous prime is 5765859929. The next prime is 5765860007. The reversal of 5765859972 is 2799585675.

5765859972 is a `hidden beast` number, since 576 + 5 + 8 + 59 + 9 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485133 + ... + 496875.

It is an arithmetic number, because the mean of its divisors is an integer number (211603392).

Almost surely, 25765859972 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 5765859972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7617722112).

5765859972 is an abundant number, since it is smaller than the sum of its proper divisors (9469584252).

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

5765859972 is a wasteful number, since it uses less digits than its factorization.

5765859972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12369 (or 12364 counting only the distinct ones).

The product of its digits is 47628000, while the sum is 63.

The square root of 5765859972 is about 75933.2599853319. The cubic root of 5765859972 is about 1793.1695839423.

The spelling of 5765859972 in words is "five billion, seven hundred sixty-five million, eight hundred fifty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 593 828 1186 1779 2372 3558 5337 7116 10674 11743 13639 21348 23486 27278 35229 40917 46972 54556 70458 81834 105687 122751 140916 163668 211374 245502 270089 422748 491004 540178 810267 1080356 1620534 2430801 3241068 4861602 6963599 9723204 13927198 20890797 27854396 41781594 62672391 83563188 125344782 160162777 250689564 320325554 480488331 640651108 960976662 1441464993 1921953324 2882929986 5765859972