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5153561024 = 263122711443
BaseRepresentation
bin1001100110010110…
…10001100111000000
3111022011100000200112
410303023101213000
541023302423044
62211214410452
7241465355153
oct46313214700
914264300615
105153561024
112205061747
12bb9b00a28
136419065c1
1436c635c9a
1520268b09e
hex1332d19c0

5153561024 has 56 divisors (see below), whose sum is σ = 10603918848. Its totient is φ = 2482456320.

The previous prime is 5153561009. The next prime is 5153561069. The reversal of 5153561024 is 4201653515.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 444647 + ... + 456089.

Almost surely, 25153561024 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 5153561024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5301959424).

5153561024 is an abundant number, since it is smaller than the sum of its proper divisors (5450357824).

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

5153561024 is a wasteful number, since it uses less digits than its factorization.

5153561024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11713 (or 11703 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 5153561024 is about 71788.3070144435. The cubic root of 5153561024 is about 1727.3054407423.

The spelling of 5153561024 in words is "five billion, one hundred fifty-three million, five hundred sixty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 227 248 454 496 908 992 1816 1984 3632 7037 7264 11443 14074 14528 22886 28148 45772 56296 91544 112592 183088 225184 354733 366176 450368 709466 732352 1418932 2597561 2837864 5195122 5675728 10390244 11351456 20780488 22702912 41560976 80524391 83121952 161048782 166243904 322097564 644195128 1288390256 2576780512 5153561024