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21225108672 = 263328343403
BaseRepresentation
bin10011110001000111…
…010111010011000000
32000210012210020102000
4103301013113103000
5321432111434142
613430051424000
71350656306205
oct236107272300
960705706360
1021225108672
119002025329
1241442b5000
132003450901
141054cadcac
158435b614c
hex4f11d74c0

21225108672 has 112 divisors (see below), whose sum is σ = 62619818880. Its totient is φ = 7049873664.

The previous prime is 21225108659. The next prime is 21225108727. The reversal of 21225108672 is 27680152212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 467323 + ... + 510725.

Almost surely, 221225108672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21225108672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31309909440).

21225108672 is an abundant number, since it is smaller than the sum of its proper divisors (41394710208).

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

21225108672 is a wasteful number, since it uses less digits than its factorization.

21225108672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43707 (or 43691 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 21225108672 in words is "twenty-one billion, two hundred twenty-five million, one hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 283 288 432 566 576 849 864 1132 1698 1728 2264 2547 3396 4528 5094 6792 7641 9056 10188 13584 15282 18112 20376 27168 30564 40752 43403 54336 61128 81504 86806 122256 130209 163008 173612 244512 260418 347224 390627 489024 520836 694448 781254 1041672 1171881 1388896 1562508 2083344 2343762 2777792 3125016 4166688 4687524 6250032 8333376 9375048 12283049 12500064 18750096 24566098 25000128 36849147 37500192 49132196 73698294 75000384 98264392 110547441 147396588 196528784 221094882 294793176 331642323 393057568 442189764 589586352 663284646 786115136 884379528 1179172704 1326569292 1768759056 2358345408 2653138584 3537518112 5306277168 7075036224 10612554336 21225108672