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45087130944 = 2632127761297
BaseRepresentation
bin101001111111011001…
…110000010101000000
311022101012101120020200
4221333121300111000
51214314301142234
632413541405200
73154205201232
oct517731602500
9138335346220
1045087130944
1118137567899
1288a3709800
134336c9a20b
14227a070252
15128d3eed99
hexa7f670540

45087130944 has 84 divisors (see below), whose sum is σ = 129337431444. Its totient is φ = 15017029632.

The previous prime is 45087130939. The next prime is 45087130981. The reversal of 45087130944 is 44903178054.

45087130944 is a `hidden beast` number, since 4 + 508 + 7 + 130 + 9 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20825953344 + 24261177600 = 144312^2 + 155760^2 .

It is a super-2 number, since 2×450871309442 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45087130944.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 704904 + ... + 766200.

Almost surely, 245087130944 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 45087130944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64668715722).

45087130944 is an abundant number, since it is smaller than the sum of its proper divisors (84250300500).

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

45087130944 is a wasteful number, since it uses less digits than its factorization.

45087130944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62592 (or 62579 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 45087130944 in words is "forty-five billion, eighty-seven million, one hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1277 2554 3831 5108 7662 10216 11493 15324 20432 22986 30648 40864 45972 61296 61297 81728 91944 122592 122594 183888 183891 245184 245188 367776 367782 490376 551673 735552 735564 980752 1103346 1471128 1961504 2206692 2942256 3923008 4413384 5884512 8826768 11769024 17653536 35307072 78276269 156552538 234828807 313105076 469657614 626210152 704486421 939315228 1252420304 1408972842 1878630456 2504840608 2817945684 3757260912 5009681216 5635891368 7514521824 11271782736 15029043648 22543565472 45087130944