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45425986528 = 25131373472297
BaseRepresentation
bin101010010011100110…
…011000101111100000
311100020211000012201111
4222103212120233200
51221013023032103
632511324313104
73165461341336
oct522346305740
9140224005644
1045425986528
11182a087002a
1289790a2794
13438c250990
1422ad079b56
1512ad03686d
hexa93998be0

45425986528 has 96 divisors (see below), whose sum is σ = 97336772064. Its totient is φ = 20743790592.

The previous prime is 45425986523. The next prime is 45425986549. The reversal of 45425986528 is 82568952454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45425986523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19775076 + ... + 19777372.

It is an arithmetic number, because the mean of its divisors is an integer number (1013924709).

Almost surely, 245425986528 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 45425986528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48668386032).

45425986528 is an abundant number, since it is smaller than the sum of its proper divisors (51910785536).

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

45425986528 is a wasteful number, since it uses less digits than its factorization.

45425986528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2796 counting only the distinct ones).

The product of its digits is 27648000, while the sum is 58.

The spelling of 45425986528 in words is "forty-five billion, four hundred twenty-five million, nine hundred eighty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 137 208 274 347 416 548 694 1096 1388 1781 2192 2297 2776 3562 4384 4511 4594 5552 7124 9022 9188 11104 14248 18044 18376 28496 29861 36088 36752 47539 56992 59722 72176 73504 95078 119444 144352 190156 238888 314689 380312 477776 618007 629378 760624 797059 955552 1236014 1258756 1521248 1594118 2472028 2517512 3188236 4090957 4944056 5035024 6376472 8181914 9888112 10070048 10361767 12752944 16363828 19776224 20723534 25505888 32727656 41447068 65455312 82894136 109197083 130910624 165788272 218394166 331576544 436788332 873576664 1419562079 1747153328 2839124158 3494306656 5678248316 11356496632 22712993264 45425986528