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109826044480 = 265757453377
BaseRepresentation
bin110011001001000100…
…1000111001001000000
3101111110222002010021001
41212102021013021000
53244410431410410
6122241533141344
710635406655335
oct1462211071100
9344428063231
10109826044480
1142638a36819
121935062a854
13a483461349
14545c06098c
152ccbbd533a
hex1992247240

109826044480 has 56 divisors (see below), whose sum is σ = 261869319288. Its totient is φ = 43872288768.

The previous prime is 109826044441. The next prime is 109826044481. The reversal of 109826044480 is 84440628901.

It can be written as a sum of positive squares in 4 ways, for example, as 44568276544 + 65257767936 = 211112^2 + 255456^2 .

It is a super-2 number, since 2×1098260444802 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 109826044480.

It is not an unprimeable number, because it can be changed into a prime (109826044481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15552 + ... + 468928.

Almost surely, 2109826044480 is an apocalyptic number.

109826044480 is a gapful number since it is divisible by the number (10) 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 109826044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130934659644).

109826044480 is an abundant number, since it is smaller than the sum of its proper divisors (152043274808).

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

109826044480 is an equidigital number, since it uses as much as digits as its factorization.

109826044480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454151 (or 454141 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 109826044480 in words is "one hundred nine billion, eight hundred twenty-six million, forty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 757 1514 3028 3785 6056 7570 12112 15140 24224 30280 48448 60560 121120 242240 453377 906754 1813508 2266885 3627016 4533770 7254032 9067540 14508064 18135080 29016128 36270160 72540320 145080640 343206389 686412778 1372825556 1716031945 2745651112 3432063890 5491302224 6864127780 10982604448 13728255560 21965208896 27456511120 54913022240 109826044480