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16445673220 = 2252995329753
BaseRepresentation
bin11110101000011110…
…10000111100000100
31120110010102202112011
433110033100330010
5232140043020340
611315515504004
71121352626104
oct172417207404
946403382464
1016445673220
116a7a176779
12322b758004
1317211c96b2
14b20225204
15663bcc0ea
hex3d43d0f04

16445673220 has 48 divisors (see below), whose sum is σ = 35765498160. Its totient is φ = 6344554496.

The previous prime is 16445673217. The next prime is 16445673247. The reversal of 16445673220 is 2237654461.

It can be written as a sum of positive squares in 8 ways, for example, as 759112704 + 15686560516 = 27552^2 + 125246^2 .

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, 537864 + ... + 567616.

It is an arithmetic number, because the mean of its divisors is an integer number (745114545).

Almost surely, 216445673220 is an apocalyptic number.

16445673220 is a gapful number since it is divisible by the number (10) 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 16445673220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17882749080).

16445673220 is an abundant number, since it is smaller than the sum of its proper divisors (19319824940).

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

16445673220 is a wasteful number, since it uses less digits than its factorization.

16445673220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30744 (or 30742 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 16445673220 in words is "sixteen billion, four hundred forty-five million, six hundred seventy-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 953 1906 3812 4765 9530 19060 27637 29753 55274 59506 110548 119012 138185 148765 276370 297530 552740 595060 862837 1725674 3451348 4314185 8628370 17256740 28354609 56709218 113418436 141773045 283546090 567092180 822283661 1644567322 3289134644 4111418305 8222836610 16445673220