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44465227456 = 2613318320771
BaseRepresentation
bin101001011010010101…
…011000011011000000
311020202212011121001011
4221122111120123000
51212031044234311
632232124050304
73132614124436
oct513225303300
9136685147034
1044465227456
1117948509571
12874b393994
1342681a29a0
14221b624d56
151253a07321
hexa5a5586c0

44465227456 has 112 divisors (see below), whose sum is σ = 99274871808. Its totient is φ = 19620172800.

The previous prime is 44465227441. The next prime is 44465227459. The reversal of 44465227456 is 65472256444.

It is not an unprimeable number, because it can be changed into a prime (44465227459) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2130351 + ... + 2151121.

It is an arithmetic number, because the mean of its divisors is an integer number (886382784).

Almost surely, 244465227456 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 44465227456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49637435904).

44465227456 is an abundant number, since it is smaller than the sum of its proper divisors (54809644352).

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

44465227456 is a wasteful number, since it uses less digits than its factorization.

44465227456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20910 (or 20900 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 49.

The spelling of 44465227456 in words is "forty-four billion, four hundred sixty-five million, two hundred twenty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 83 104 124 166 208 248 332 403 416 496 664 806 832 992 1079 1328 1612 1984 2158 2573 2656 3224 4316 5146 5312 6448 8632 10292 12896 17264 20584 20771 25792 33449 34528 41168 41542 66898 69056 82336 83084 133796 164672 166168 267592 270023 332336 535184 540046 643901 664672 1070368 1080092 1287802 1329344 1723993 2140736 2160184 2575604 3447986 4320368 5151208 6895972 8370713 8640736 10302416 13791944 16741426 17281472 20604832 22411909 27583888 33482852 41209664 44823818 53443783 55167776 66965704 89647636 106887566 110335552 133931408 179295272 213775132 267862816 358590544 427550264 535725632 694769179 717181088 855100528 1389538358 1434362176 1710201056 2779076716 3420402112 5558153432 11116306864 22232613728 44465227456