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18105044480 = 29516742349
BaseRepresentation
bin10000110111001001…
…010000111000000000
31201201202211112221222
4100313021100320000
5244034342410410
612152313534212
71210442224145
oct206711207000
951652745858
1018105044480
117750909986
123613414368
131926c1c193
14c3a7723cc
1570e707955
hex437250e00

18105044480 has 80 divisors (see below), whose sum is σ = 43670642400. Its totient is φ = 7198482432.

The previous prime is 18105044467. The next prime is 18105044543. The reversal of 18105044480 is 8444050181.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×181050444803 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18105044480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 406346 + ... + 448694.

It is an arithmetic number, because the mean of its divisors is an integer number (545883030).

Almost surely, 218105044480 is an apocalyptic number.

18105044480 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 18105044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21835321200).

18105044480 is an abundant number, since it is smaller than the sum of its proper divisors (25565597920).

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

18105044480 is an equidigital number, since it uses as much as digits as its factorization.

18105044480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42539 (or 42523 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The spelling of 18105044480 in words is "eighteen billion, one hundred five million, forty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 167 256 320 334 512 640 668 835 1280 1336 1670 2560 2672 3340 5344 6680 10688 13360 21376 26720 42349 42752 53440 84698 85504 106880 169396 211745 213760 338792 423490 427520 677584 846980 1355168 1693960 2710336 3387920 5420672 6775840 7072283 10841344 13551680 14144566 21682688 27103360 28289132 35361415 54206720 56578264 70722830 108413440 113156528 141445660 226313056 282891320 452626112 565782640 905252224 1131565280 1810504448 2263130560 3621008896 4526261120 9052522240 18105044480