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21956364928 = 272930719267
BaseRepresentation
bin10100011100101100…
…111000101010000000
32002200011202220102001
4110130230320222000
5324431312134203
614030413033344
71405046010511
oct243454705200
962604686361
1021956364928
119347882a43
124309185854
1320bbab4a14
1410c4062a08
158878ae91d
hex51cb38a80

21956364928 has 64 divisors (see below), whose sum is σ = 45399261600. Its totient is φ = 10564549632.

The previous prime is 21956364923. The next prime is 21956364931. The reversal of 21956364928 is 82946365912.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (21956364923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1129951 + ... + 1149217.

Almost surely, 221956364928 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 21956364928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22699630800).

21956364928 is an abundant number, since it is smaller than the sum of its proper divisors (23442896672).

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

21956364928 is a wasteful number, since it uses less digits than its factorization.

21956364928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19617 (or 19605 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 55.

It can be divided in two parts, 21956 and 364928, that added together give a square (386884 = 6222).

The spelling of 21956364928 in words is "twenty-one billion, nine hundred fifty-six million, three hundred sixty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 307 464 614 928 1228 1856 2456 3712 4912 8903 9824 17806 19267 19648 35612 38534 39296 71224 77068 142448 154136 284896 308272 558743 569792 616544 1117486 1139584 1233088 2234972 2466176 4469944 5914969 8939888 11829938 17879776 23659876 35759552 47319752 71519104 94639504 171534101 189279008 343068202 378558016 686136404 757116032 1372272808 2744545616 5489091232 10978182464 21956364928