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5044272624 = 243370116657
BaseRepresentation
bin1001011001010100…
…10111110111110000
3111000112200121012000
410230222113313300
540312313210444
62152312134000
7236000416116
oct45452276760
914015617160
105044272624
1121593a6756
12b89397300
13625090101
1435bd07ab6
151e7c9e469
hex12ca97df0

5044272624 has 80 divisors (see below), whose sum is σ = 14500455840. Its totient is φ = 1678924800.

The previous prime is 5044272613. The next prime is 5044272643. The reversal of 5044272624 is 4262724405.

5044272624 is a `hidden beast` number, since 5 + 0 + 4 + 4 + 27 + 2 + 624 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294504 + ... + 311160.

It is an arithmetic number, because the mean of its divisors is an integer number (181255698).

Almost surely, 25044272624 is an apocalyptic number.

5044272624 is a gapful number since it is divisible by the number (54) 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 5044272624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7250227920).

5044272624 is an abundant number, since it is smaller than the sum of its proper divisors (9456183216).

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

5044272624 is a wasteful number, since it uses less digits than its factorization.

5044272624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17375 (or 17363 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 5044272624 is about 71023.0429086223. The cubic root of 5044272624 is about 1715.0081313806.

The spelling of 5044272624 in words is "five billion, forty-four million, two hundred seventy-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 701 1402 2103 2804 4206 5608 6309 8412 11216 12618 16657 16824 18927 25236 33314 33648 37854 49971 50472 66628 75708 99942 100944 133256 149913 151416 199884 266512 299826 302832 399768 449739 599652 799536 899478 1199304 1798956 2398608 3597912 7195824 11676557 23353114 35029671 46706228 70059342 93412456 105089013 140118684 186824912 210178026 280237368 315267039 420356052 560474736 630534078 840712104 1261068156 1681424208 2522136312 5044272624