Search a number
-
+
45112885776 = 2432772761561
BaseRepresentation
bin101010000000111100…
…000000001000010000
311022102222212001020100
4222000330000020100
51214342344321101
632420301412400
73154640126220
oct520074001020
9138388761210
1045112885776
1118150058882
1288b026a100
13433c416b6a
14227d656080
1512907dae86
hexa80f00210

45112885776 has 120 divisors (see below), whose sum is σ = 144490446464. Its totient is φ = 12871457280.

The previous prime is 45112885759. The next prime is 45112885813. The reversal of 45112885776 is 67758821154.

45112885776 is a `hidden beast` number, since 4 + 51 + 12 + 8 + 8 + 577 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702036 + ... + 763596.

Almost surely, 245112885776 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 45112885776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72245223232).

45112885776 is an abundant number, since it is smaller than the sum of its proper divisors (99377560688).

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

45112885776 is a wasteful number, since it uses less digits than its factorization.

45112885776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62309 (or 62300 counting only the distinct ones).

The product of its digits is 3763200, while the sum is 54.

The spelling of 45112885776 in words is "forty-five billion, one hundred twelve million, eight hundred eighty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 727 1008 1454 2181 2908 4362 5089 5816 6543 8724 10178 11632 13086 15267 17448 20356 26172 30534 34896 40712 45801 52344 61068 61561 81424 91602 104688 122136 123122 183204 184683 244272 246244 366408 369366 430927 492488 554049 732816 738732 861854 984976 1108098 1292781 1477464 1723708 2216196 2585562 2954928 3447416 3878343 4432392 5171124 6894832 7756686 8864784 10342248 15513372 20684496 31026744 44754847 62053488 89509694 134264541 179019388 268529082 313283929 358038776 402793623 537058164 626567858 716077552 805587246 939851787 1074116328 1253135716 1611174492 1879703574 2148232656 2506271432 2819555361 3222348984 3759407148 5012542864 5639110722 6444697968 7518814296 11278221444 15037628592 22556442888 45112885776