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44742763164 = 22311897195297
BaseRepresentation
bin101001101010111000…
…000110001010011100
311021111012101212110110
4221222320012022130
51213113121410124
632315440410020
73142524132441
oct515270061234
9137435355413
1044742763164
1117a8013a220
128808316910
1342b08367b8
14224642b9c8
15126d07a029
hexa6ae0629c

44742763164 has 96 divisors (see below), whose sum is σ = 115352294400. Its totient is φ = 13384898560.

The previous prime is 44742763151. The next prime is 44742763193. The reversal of 44742763164 is 46136724744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8444164 + ... + 8449460.

It is an arithmetic number, because the mean of its divisors is an integer number (1201586400).

Almost surely, 244742763164 is an apocalyptic number.

44742763164 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 44742763164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57676147200).

44742763164 is an abundant number, since it is smaller than the sum of its proper divisors (70609531236).

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

44742763164 is a wasteful number, since it uses less digits than its factorization.

44742763164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6123 (or 6121 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 48.

The spelling of 44742763164 in words is "forty-four billion, seven hundred forty-two million, seven hundred sixty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 89 132 178 267 356 534 719 979 1068 1438 1958 2157 2876 2937 3916 4314 5297 5874 7909 8628 10594 11748 15818 15891 21188 23727 31636 31782 47454 58267 63564 63991 94908 116534 127982 174801 191973 233068 255964 349602 383946 471433 699204 703901 767892 942866 1407802 1414299 1885732 2111703 2815604 2828598 3808543 4223406 5185763 5657196 7617086 8446812 10371526 11425629 15234172 15557289 20743052 22851258 31114578 41893973 45702516 62229156 83787946 125681919 167575892 251363838 338960327 502727676 677920654 1016880981 1355841308 2033761962 3728563597 4067523924 7457127194 11185690791 14914254388 22371381582 44742763164