Search a number
-
+
5641058592 = 2533131731953
BaseRepresentation
bin1010100000011101…
…11011100100100000
3112120010122110122000
411100032323210200
543023102333332
62331431244000
7256535130651
oct52016734440
915503573560
105641058592
1124352598a4
121115219600
136bb901ac0
143b7295528
15230384b7c
hex1503bb920

5641058592 has 384 divisors, whose sum is σ = 19386501120. Its totient is φ = 1579253760.

The previous prime is 5641058567. The next prime is 5641058629. The reversal of 5641058592 is 2958501465.

5641058592 is a `hidden beast` number, since 5 + 6 + 4 + 1 + 0 + 58 + 592 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5918788 + ... + 5919740.

It is an arithmetic number, because the mean of its divisors is an integer number (50485680).

Almost surely, 25641058592 is an apocalyptic number.

5641058592 is a gapful number since it is divisible by the number (52) 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 5641058592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9693250560).

5641058592 is an abundant number, since it is smaller than the sum of its proper divisors (13745442528).

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

5641058592 is a wasteful number, since it uses less digits than its factorization.

5641058592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 5641058592 is about 75106.9809804655. The cubic root of 5641058592 is about 1780.1374501443.

The spelling of 5641058592 in words is "five billion, six hundred forty-one million, fifty-eight thousand, five hundred ninety-two".