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220044610044 = 22347233416401
BaseRepresentation
bin1100110011101110101…
…1100100100111111100
3210000222021202101020000
43030323223210213330
512101122410010134
6245030451354300
721616624216230
oct3147353444774
9700867671200
10220044610044
118535849a426
12367905b2990
131799a015a8c
14a91629a5c0
155acd0a2e99
hex333bae49fc

220044610044 has 120 divisors (see below), whose sum is σ = 660240348768. Its totient is φ = 62599910400.

The previous prime is 220044610033. The next prime is 220044610063. The reversal of 220044610044 is 440016440022.

It is a happy number.

220044610044 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 4 + 4 + 610 + 0 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 320244 + ... + 736644.

Almost surely, 2220044610044 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 220044610044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330120174384).

220044610044 is an abundant number, since it is smaller than the sum of its proper divisors (440195738724).

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

220044610044 is a wasteful number, since it uses less digits than its factorization.

220044610044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416657 (or 416646 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 220044610044 in words is "two hundred twenty billion, forty-four million, six hundred ten thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 233 252 324 378 466 567 699 756 932 1134 1398 1631 2097 2268 2796 3262 4194 4893 6291 6524 8388 9786 12582 14679 18873 19572 25164 29358 37746 44037 58716 75492 88074 132111 176148 264222 416401 528444 832802 1249203 1665604 2498406 2914807 3747609 4996812 5829614 7495218 8744421 11242827 11659228 14990436 17488842 22485654 26233263 33728481 34977684 44971308 52466526 67456962 78699789 97021433 104933052 134913924 157399578 194042866 236099367 291064299 314799156 388085732 472198734 582128598 679150031 873192897 944397468 1164257196 1358300062 1746385794 2037450093 2619578691 2716600124 3492771588 4074900186 5239157382 6112350279 7858736073 8149800372 10478314764 12224700558 15717472146 18337050837 24449401116 31434944292 36674101674 55011152511 73348203348 110022305022 220044610044