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21114419656 = 2311313115137
BaseRepresentation
bin10011101010100001…
…000111100111001000
32000111111111122121211
4103222201013213020
5321220242412111
613411055142504
71345143414541
oct235241074710
960444448554
1021114419656
118a555a3000
124113214a34
131cb6536a55
1410442d94c8
158389ee521
hex4ea8479c8

21114419656 has 64 divisors (see below), whose sum is σ = 43880823360. Its totient is φ = 9523571200.

The previous prime is 21114419653. The next prime is 21114419657. The reversal of 21114419656 is 65691441112.

It is not an unprimeable number, because it can be changed into a prime (21114419653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1387320 + ... + 1402456.

It is an arithmetic number, because the mean of its divisors is an integer number (685637865).

Almost surely, 221114419656 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 21114419656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21940411680).

21114419656 is an abundant number, since it is smaller than the sum of its proper divisors (22766403704).

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

21114419656 is a wasteful number, since it uses less digits than its factorization.

21114419656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15307 (or 15281 counting only the distinct ones).

The product of its digits is 51840, while the sum is 40.

The spelling of 21114419656 in words is "twenty-one billion, one hundred fourteen million, four hundred nineteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 22 44 88 121 131 242 262 484 524 968 1048 1331 1441 2662 2882 5324 5764 10648 11528 15137 15851 30274 31702 60548 63404 121096 126808 166507 174361 333014 348722 666028 697444 1332056 1394888 1831577 1982947 3663154 3965894 7326308 7931788 14652616 15863576 20147347 21812417 40294694 43624834 80589388 87249668 161178776 174499336 239936587 479873174 959746348 1919492696 2639302457 5278604914 10557209828 21114419656