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444417137663652 = 223219649732657403
BaseRepresentation
bin110010100001100011110110…
…1100111110101111010100100
32011021112212022102222201022200
41211003013231213311322210
5431222312244220214102
64213110225313054500
7162416035652444256
oct14503075547657244
92137485272881280
10444417137663652
1111967228230a01a
1241a17028257430
13160c948291244a
147ba5c932dbcd6
15365a49a01a51c
hex19431ed9f5ea4

444417137663652 has 36 divisors (see below), whose sum is σ = 1182513436475280. Its totient is φ = 140342253998832.

The previous prime is 444417137663651. The next prime is 444417137663677. The reversal of 444417137663652 is 256366731714444.

It is a happy number.

444417137663652 is a `hidden beast` number, since 4 + 4 + 4 + 417 + 137 + 6 + 6 + 36 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 444417137663652.

It is not an unprimeable number, because it can be changed into a prime (444417137663651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 324866328018 + ... + 324866329385.

Almost surely, 2444417137663652 is an apocalyptic number.

It is an amenable number.

444417137663652 is an abundant number, since it is smaller than the sum of its proper divisors (738096298811628).

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

444417137663652 is a wasteful number, since it uses less digits than its factorization.

444417137663652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649732657432 (or 649732657427 counting only the distinct ones).

The product of its digits is 243855360, while the sum is 63.

The spelling of 444417137663652 in words is "four hundred forty-four trillion, four hundred seventeen billion, one hundred thirty-seven million, six hundred sixty-three thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 649732657403 1299465314806 1949197972209 2598930629612 3898395944418 5847593916627 7796791888836 11695187833254 12344920490657 23390375666508 24689840981314 37034761471971 49379681962628 74069522943942 111104284415913 148139045887884 222208568831826 444417137663652