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45208840576 = 273153227947
BaseRepresentation
bin101010000110101010…
…000010100110000000
311022200200102001110211
4222012222002212000
51220041430344301
632434010203504
73160213542634
oct520652024600
9138620361424
1045208840576
111819a237069
128918423594
134356272353
14228c2b2dc4
151298e42051
hexa86a82980

45208840576 has 128 divisors (see below), whose sum is σ = 95241692160. Its totient is φ = 21345392640.

The previous prime is 45208840531. The next prime is 45208840591. The reversal of 45208840576 is 67504880254.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47738535 + ... + 47739481.

It is an arithmetic number, because the mean of its divisors is an integer number (744075720).

Almost surely, 245208840576 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 45208840576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47620846080).

45208840576 is an abundant number, since it is smaller than the sum of its proper divisors (50032851584).

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

45208840576 is a wasteful number, since it uses less digits than its factorization.

45208840576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 49.

The spelling of 45208840576 in words is "forty-five billion, two hundred eight million, eight hundred forty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 31 32 53 62 64 106 124 128 212 227 248 424 454 496 848 908 947 992 1643 1696 1816 1894 1984 3286 3392 3632 3788 3968 6572 6784 7037 7264 7576 12031 13144 14074 14528 15152 24062 26288 28148 29056 29357 30304 48124 50191 52576 56296 58714 60608 96248 100382 105152 112592 117428 121216 192496 200764 210304 214969 225184 234856 372961 384992 401528 429938 450368 469712 745922 769984 803056 859876 900736 939424 1491844 1539968 1555921 1606112 1719752 1878848 2983688 3111842 3212224 3439504 3757696 5967376 6223684 6424448 6664039 6879008 11393357 11934752 12447368 13328078 13758016 22786714 23869504 24894736 26656156 27516032 45573428 47739008 49789472 53312312 91146856 99578944 106624624 182293712 199157888 213249248 353194067 364587424 426498496 706388134 729174848 852996992 1412776268 1458349696 2825552536 5651105072 11302210144 22604420288 45208840576