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44826680480 = 2551739411721
BaseRepresentation
bin101001101111111000…
…001101110010100000
311021201001022022101012
4221233320031302200
51213301112233410
632332035200052
73144563332361
oct515770156240
9137631268335
1044826680480
111801354657a
128830446028
1342c5038c0a
142253633b68
151275604605
hexa6fe0dca0

44826680480 has 96 divisors (see below), whose sum is σ = 106690339728. Its totient is φ = 17797734400.

The previous prime is 44826680407. The next prime is 44826680489. The reversal of 44826680480 is 8408662844.

44826680480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 36991598224 + 7835082256 = 192332^2 + 88516^2 .

It is not an unprimeable number, because it can be changed into a prime (44826680489) 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, 26046020 + ... + 26047740.

Almost surely, 244826680480 is an apocalyptic number.

44826680480 is a gapful number since it is divisible by the number (40) 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 44826680480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53345169864).

44826680480 is an abundant number, since it is smaller than the sum of its proper divisors (61863659248).

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

44826680480 is a wasteful number, since it uses less digits than its factorization.

44826680480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 50.

The spelling of 44826680480 in words is "forty-four billion, eight hundred twenty-six million, six hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 173 346 692 865 941 1384 1721 1730 1882 2768 3442 3460 3764 4705 5536 6884 6920 7528 8605 9410 13768 13840 15056 17210 18820 27536 27680 30112 34420 37640 55072 68840 75280 137680 150560 162793 275360 297733 325586 595466 651172 813965 1190932 1302344 1488665 1619461 1627930 2381864 2604688 2977330 3238922 3255860 4763728 5209376 5954660 6477844 6511720 8097305 9527456 11909320 12955688 13023440 16194610 23818640 25911376 26046880 32389220 47637280 51822752 64778440 129556880 259113760 280166753 560333506 1120667012 1400833765 2241334024 2801667530 4482668048 5603335060 8965336096 11206670120 22413340240 44826680480