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21247552720 = 24523113102191
BaseRepresentation
bin10011110010011100…
…111110110011010000
32000211210000111212001
4103302130332303100
5322003333141340
613432212443344
71351351134562
oct236234766320
960753014761
1021247552720
119013764929
12414b919554
132007cab604
141057c73332
1584554b29a
hex4f273ecd0

21247552720 has 80 divisors (see below), whose sum is σ = 52005100032. Its totient is φ = 8057477120.

The previous prime is 21247552691. The next prime is 21247552721. The reversal of 21247552720 is 2725574212.

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

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 21247552720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21247552721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156825 + ... + 259015.

Almost surely, 221247552720 is an apocalyptic number.

21247552720 is a gapful number since it is divisible by the number (20) 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 21247552720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26002550016).

21247552720 is an abundant number, since it is smaller than the sum of its proper divisors (30757547312).

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

21247552720 is a wasteful number, since it uses less digits than its factorization.

21247552720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102340 (or 102334 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 37.

The spelling of 21247552720 in words is "twenty-one billion, two hundred forty-seven million, five hundred fifty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 113 115 184 226 230 368 452 460 565 904 920 1130 1808 1840 2260 2599 4520 5198 9040 10396 12995 20792 25990 41584 51980 102191 103960 204382 207920 408764 510955 817528 1021910 1635056 2043820 2350393 4087640 4700786 8175280 9401572 11547583 11751965 18803144 23095166 23503930 37606288 46190332 47007860 57737915 92380664 94015720 115475830 184761328 188031440 230951660 265594409 461903320 531188818 923806640 1062377636 1327972045 2124755272 2655944090 4249510544 5311888180 10623776360 21247552720