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45776043544 = 23711727102217
BaseRepresentation
bin101010101000011101…
…101111111000011000
311101011012200221200011
4222220131233320120
51222222131343134
633010151251304
73210241643620
oct525035577030
9141135627604
1045776043544
1118460424050
128a56379b34
134416926aca
14230375d880
1512cdb32264
hexaa876fe18

45776043544 has 64 divisors (see below), whose sum is σ = 107157173760. Its totient is φ = 17810115840.

The previous prime is 45776043541. The next prime is 45776043563. The reversal of 45776043544 is 44534067754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45776043541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396724 + ... + 498940.

It is an arithmetic number, because the mean of its divisors is an integer number (1674330840).

Almost surely, 245776043544 is an apocalyptic number.

45776043544 is a gapful number since it is divisible by the number (44) 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 45776043544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53578586880).

45776043544 is an abundant number, since it is smaller than the sum of its proper divisors (61381130216).

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

45776043544 is a wasteful number, since it uses less digits than its factorization.

45776043544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102968 (or 102964 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 49.

The spelling of 45776043544 in words is "forty-five billion, seven hundred seventy-six million, forty-three thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 727 1454 2908 5089 5816 7997 10178 15994 20356 31988 40712 55979 63976 102217 111958 204434 223916 408868 447832 715519 817736 1124387 1431038 2248774 2862076 4497548 5724152 7870709 8995096 15741418 31482836 62965672 74311759 148623518 297247036 520182313 594494072 817429349 1040364626 1634858698 2080729252 3269717396 4161458504 5722005443 6539434792 11444010886 22888021772 45776043544