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45099619192764 = 22322278237670001
BaseRepresentation
bin10100100000100100100101…
…10010000000111110111100
312220200111000000010110122200
422100102102302000332330
521402403010003132024
6235530251245511500
712333224415010203
oct1220222262007674
9186614000113580
1045099619192764
1113408706320604
125084737272590
131c21b502b9a26
14b1cb944b623a
155332280062c9
hex290492c80fbc

45099619192764 has 72 divisors (see below), whose sum is σ = 114518097924048. Its totient is φ = 14965141440000.

The previous prime is 45099619192751. The next prime is 45099619192801. The reversal of 45099619192764 is 46729191699054.

45099619192764 is a `hidden beast` number, since 4 + 509 + 9 + 6 + 1 + 91 + 9 + 27 + 6 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45099619192692 and 45099619192701.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 66977764 + ... + 67647764.

It is an arithmetic number, because the mean of its divisors is an integer number (1590529137834).

Almost surely, 245099619192764 is an apocalyptic number.

It is an amenable number.

45099619192764 is an abundant number, since it is smaller than the sum of its proper divisors (69418478731284).

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

45099619192764 is a wasteful number, since it uses less digits than its factorization.

45099619192764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678475 (or 678470 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 45099619192764 in words is "forty-five trillion, ninety-nine billion, six hundred nineteen million, one hundred ninety-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 227 454 681 908 1362 2043 2724 4086 8172 8237 16474 24711 32948 49422 74133 98844 148266 296532 670001 1340002 1869799 2010003 2680004 3739598 4020006 5609397 6030009 7479196 8040012 11218794 12060018 16828191 22437588 24120036 33656382 67312764 152090227 304180454 456270681 608360908 912541362 1368812043 1825082724 2737624086 5475248172 5518798237 11037596474 16556394711 22075192948 33112789422 49669184133 66225578844 99338368266 198676736532 1252767199799 2505534399598 3758301599397 5011068799196 7516603198794 11274904798191 15033206397588 22549809596382 45099619192764