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45664604112 = 2434153641683
BaseRepresentation
bin101010100001110100…
…101000111111010000
311100212110000020111210
4222201310220333100
51222010114312422
632551130540120
73204416505411
oct524164507720
9140773006453
1045664604112
1118403529a46
128a24b97640
1343c980950a
1422d2a31808
1512c3e6d10c
hexaa1d28fd0

45664604112 has 160 divisors (see below), whose sum is σ = 123496845696. Its totient is φ = 14526054400.

The previous prime is 45664604039. The next prime is 45664604129. The reversal of 45664604112 is 21140646654.

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 31 ways as a sum of consecutive naturals, for example, 66858523 + ... + 66859205.

Almost surely, 245664604112 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 45664604112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61748422848).

45664604112 is an abundant number, since it is smaller than the sum of its proper divisors (77832241584).

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

45664604112 is a wasteful number, since it uses less digits than its factorization.

45664604112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 45664604112 in words is "forty-five billion, six hundred sixty-four million, six hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 53 82 106 123 159 164 212 246 318 328 424 492 636 641 656 683 848 984 1272 1282 1366 1923 1968 2049 2173 2544 2564 2732 3846 4098 4346 5128 5464 6519 7692 8196 8692 10256 10928 13038 15384 16392 17384 26076 26281 28003 30768 32784 33973 34768 36199 52152 52562 56006 67946 72398 78843 84009 101919 104304 105124 108597 112012 135892 144796 157686 168018 203838 210248 217194 224024 271784 289592 315372 336036 407676 420496 434388 437803 448048 543568 579184 630744 672072 815352 868776 875606 1261488 1313409 1344144 1392893 1484159 1630704 1737552 1751212 2626818 2785786 2968318 3502424 4178679 4452477 5253636 5571572 5936636 7004848 8357358 8904954 10507272 11143144 11873272 16714716 17809908 17949923 21014544 22286288 23203559 23746544 33429432 35619816 35899846 46407118 53849769 66858864 69610677 71239632 71799692 92814236 107699538 139221354 143599384 185628472 215399076 278442708 287198768 371256944 430798152 556885416 861596304 951345919 1113770832 1902691838 2854037757 3805383676 5708075514 7610767352 11416151028 15221534704 22832302056 45664604112