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21014970928 = 2473122926431
BaseRepresentation
bin10011100100100101…
…110000001000110000
32000020120101010121121
4103210211300020300
5321014313032203
613353143432024
71342525206550
oct234445601060
960216333547
1021014970928
118a04448776
1240a5a55614
131c9ba57153
14103500d160
1582ee080bd
hex4e4970230

21014970928 has 80 divisors (see below), whose sum is σ = 48245800960. Its totient is φ = 8677497600.

The previous prime is 21014970913. The next prime is 21014970929. The reversal of 21014970928 is 82907941012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21014970929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 781873 + ... + 808303.

It is an arithmetic number, because the mean of its divisors is an integer number (603072512).

Almost surely, 221014970928 is an apocalyptic number.

21014970928 is a gapful number since it is divisible by the number (28) 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 21014970928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24122900480).

21014970928 is an abundant number, since it is smaller than the sum of its proper divisors (27230830032).

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

21014970928 is a wasteful number, since it uses less digits than its factorization.

21014970928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26706 (or 26700 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 43.

The spelling of 21014970928 in words is "twenty-one billion, fourteen million, nine hundred seventy thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 229 248 434 458 496 868 916 1603 1736 1832 3206 3472 3664 6412 7099 12824 14198 25648 26431 28396 49693 52862 56792 99386 105724 113584 185017 198772 211448 370034 397544 422896 740068 795088 819361 1480136 1638722 2960272 3277444 5735527 6052699 6554888 11471054 12105398 13109776 22942108 24210796 42368893 45884216 48421592 84737786 91768432 96843184 169475572 187633669 338951144 375267338 677902288 750534676 1313435683 1501069352 2626871366 3002138704 5253742732 10507485464 21014970928