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4544044164 = 2233112893907
BaseRepresentation
bin1000011101101100…
…01001110010000100
3102201200102100202000
410032312021302010
533301233403124
62030522345300
7220414511112
oct41666116204
912650370660
104544044164
111a21aa3700
12a6995b230
1357555803a
143116d2ab2
151b8ddd6c9
hex10ed89c84

4544044164 has 144 divisors (see below), whose sum is σ = 13098052800. Its totient is φ = 1361162880.

The previous prime is 4544044163. The next prime is 4544044171. The reversal of 4544044164 is 4614404454.

4544044164 is a `hidden beast` number, since 454 + 4 + 0 + 44 + 164 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4544044163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1161099 + ... + 1165005.

It is an arithmetic number, because the mean of its divisors is an integer number (90958700).

Almost surely, 24544044164 is an apocalyptic number.

4544044164 is a gapful number since it is divisible by the number (44) 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 4544044164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6549026400).

4544044164 is an abundant number, since it is smaller than the sum of its proper divisors (8554008636).

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

4544044164 is a wasteful number, since it uses less digits than its factorization.

4544044164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4031 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The square root of 4544044164 is about 67409.5257660221. The cubic root of 4544044164 is about 1656.3324658044.

The spelling of 4544044164 in words is "four billion, five hundred forty-four million, forty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 89 99 108 121 132 178 198 242 267 297 356 363 396 484 534 594 726 801 979 1068 1089 1188 1452 1602 1958 2178 2403 2937 3204 3267 3907 3916 4356 4806 5874 6534 7814 8811 9612 10769 11721 11748 13068 15628 17622 21538 23442 26433 32307 35163 35244 42977 43076 46884 52866 64614 70326 85954 96921 105489 105732 128931 129228 140652 171908 193842 210978 257862 290763 347723 386793 387684 421956 472747 515724 581526 695446 773586 945494 1043169 1160379 1163052 1390892 1418241 1547172 1890988 2086338 2320758 2836482 3129507 3824953 4172676 4254723 4641516 5672964 6259014 7649906 8509446 9388521 11474859 12518028 12764169 15299812 17018892 18777042 22949718 25528338 34424577 37554084 42074483 45899436 51056676 68849154 84148966 103273731 126223449 137698308 168297932 206547462 252446898 378670347 413094924 504893796 757340694 1136011041 1514681388 2272022082 4544044164