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21245854432 = 2511475632281
BaseRepresentation
bin10011110010010110…
…100000001011100000
32000211122211020020111
4103302112200023200
5322002414320212
613432112221104
71351330532365
oct236226401340
960748736214
1021245854432
119012804990
12414b23a794
1320078355ca
14105795046c
15845312ea7
hex4f25a02e0

21245854432 has 96 divisors (see below), whose sum is σ = 46704397824. Its totient is φ = 9430809600.

The previous prime is 21245854417. The next prime is 21245854451. The reversal of 21245854432 is 23445854212.

It is a congruent number.

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, 9313132 + ... + 9315412.

It is an arithmetic number, because the mean of its divisors is an integer number (486504144).

Almost surely, 221245854432 is an apocalyptic number.

21245854432 is a gapful number since it is divisible by the number (22) 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 21245854432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23352198912).

21245854432 is an abundant number, since it is smaller than the sum of its proper divisors (25458543392).

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

21245854432 is a wasteful number, since it uses less digits than its factorization.

21245854432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2904 counting only the distinct ones).

The product of its digits is 307200, while the sum is 40.

The spelling of 21245854432 in words is "twenty-one billion, two hundred forty-five million, eight hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 47 88 94 176 188 352 376 517 563 752 1034 1126 1504 2068 2252 2281 4136 4504 4562 6193 8272 9008 9124 12386 16544 18016 18248 24772 25091 26461 36496 49544 50182 52922 72992 99088 100364 105844 107207 198176 200728 211688 214414 291071 401456 423376 428828 582142 802912 846752 857656 1164284 1179277 1284203 1715312 2328568 2358554 2568406 3430624 4657136 4717108 5136812 9314272 9434216 10273624 14126233 18868432 20547248 28252466 37736864 41094496 56504932 60357541 113009864 120715082 226019728 241430164 452039456 482860328 663932951 965720656 1327865902 1931441312 2655731804 5311463608 10622927216 21245854432