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45466450880 = 2651013833673
BaseRepresentation
bin101010010110000000…
…101111101111000000
311100100122011000101012
4222112000233233000
51221103402412010
632515331500052
73166462312244
oct522600575700
9140318130335
1045466450880
1118311698544
12898a757628
13439774a996
1422b45b0424
1512b187b005
hexa9602fbc0

45466450880 has 112 divisors (see below), whose sum is σ = 109654262784. Its totient is φ = 17954611200.

The previous prime is 45466450877. The next prime is 45466450903. The reversal of 45466450880 is 8805466454.

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, 12376724 + ... + 12380396.

Almost surely, 245466450880 is an apocalyptic number.

45466450880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45466450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54827131392).

45466450880 is an abundant number, since it is smaller than the sum of its proper divisors (64187811904).

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

45466450880 is a wasteful number, since it uses less digits than its factorization.

45466450880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4174 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 50.

The spelling of 45466450880 in words is "forty-five billion, four hundred sixty-six million, four hundred fifty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 160 202 320 383 404 505 766 808 1010 1532 1616 1915 2020 3064 3232 3673 3830 4040 6128 6464 7346 7660 8080 12256 14692 15320 16160 18365 24512 29384 30640 32320 36730 38683 58768 61280 73460 77366 117536 122560 146920 154732 193415 235072 293840 309464 370973 386830 587680 618928 741946 773660 1175360 1237856 1406759 1483892 1547320 1854865 2475712 2813518 2967784 3094640 3709730 5627036 5935568 6189280 7033795 7419460 11254072 11871136 12378560 14067590 14838920 22508144 23742272 28135180 29677840 45016288 56270360 59355680 90032576 112540720 118711360 142082659 225081440 284165318 450162880 568330636 710413295 1136661272 1420826590 2273322544 2841653180 4546645088 5683306360 9093290176 11366612720 22733225440 45466450880