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20844521475744 = 253678467382751
BaseRepresentation
bin1001011110101001111100…
…10011000100111010100000
32201210201100112121112211110
410233110332103010322200
510213004034444210434
6112155501352143320
74250652450101511
oct457247623047240
981721315545743
1020844521475744
116707125a5948a
122407984097b40
13b82825c984a5
14520c4748aa08
15262331a914e9
hex12f53e4c4ea0

20844521475744 has 96 divisors (see below), whose sum is σ = 55540242487296. Its totient is φ = 6843643488000.

The previous prime is 20844521475733. The next prime is 20844521475781. The reversal of 20844521475744 is 44757412544802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 54268369 + ... + 54651119.

It is an arithmetic number, because the mean of its divisors is an integer number (578544192576).

Almost surely, 220844521475744 is an apocalyptic number.

20844521475744 is a gapful number since it is divisible by the number (24) 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 20844521475744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27770121243648).

20844521475744 is an abundant number, since it is smaller than the sum of its proper divisors (34695721011552).

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

20844521475744 is a wasteful number, since it uses less digits than its factorization.

20844521475744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391298 (or 391290 counting only the distinct ones).

The product of its (nonzero) digits is 40140800, while the sum is 57.

The spelling of 20844521475744 in words is "twenty trillion, eight hundred forty-four billion, five hundred twenty-one million, four hundred seventy-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 3216 6432 8467 16934 25401 33868 50802 67736 101604 135472 203208 270944 382751 406416 567289 765502 812832 1134578 1148253 1531004 1701867 2269156 2296506 3062008 3403734 4538312 4593012 6124016 6807468 9076624 9186024 12248032 13614936 18153248 18372048 25644317 27229872 36744096 51288634 54459744 76932951 102577268 153865902 205154536 307731804 410309072 615463608 820618144 1230927216 2461854432 3240752717 6481505434 9722258151 12963010868 19444516302 25926021736 38889032604 51852043472 77778065208 103704086944 155556130416 217130432039 311112260832 434260864078 651391296117 868521728156 1302782592234 1737043456312 2605565184468 3474086912624 5211130368936 6948173825248 10422260737872 20844521475744