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21579311616 = 29316998269
BaseRepresentation
bin10100000110001110…
…100010101000000000
32001200220021121111120
4110012032202220000
5323143300432431
613525143312240
71362520056642
oct240616425000
961626247446
1021579311616
119173a60235
124222a4b680
13205b948b55
141089d52892
15864730196
hex5063a2a00

21579311616 has 80 divisors (see below), whose sum is σ = 57529428000. Its totient is φ = 7188000768.

The previous prime is 21579311591. The next prime is 21579311623. The reversal of 21579311616 is 61611397512.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2605530 + ... + 2613798.

It is an arithmetic number, because the mean of its divisors is an integer number (719117850).

Almost surely, 221579311616 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 21579311616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28764714000).

21579311616 is an abundant number, since it is smaller than the sum of its proper divisors (35950116384).

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

21579311616 is an equidigital number, since it uses as much as digits as its factorization.

21579311616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9989 (or 9973 counting only the distinct ones).

The product of its digits is 68040, while the sum is 42.

The spelling of 21579311616 in words is "twenty-one billion, five hundred seventy-nine million, three hundred eleven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 1699 3398 5097 6796 8269 10194 13592 16538 20388 24807 27184 33076 40776 49614 54368 66152 81552 99228 108736 132304 163104 198456 217472 264608 326208 396912 434944 529216 652416 793824 869888 1058432 1304832 1587648 2116864 2609664 3175296 4233728 6350592 12701184 14049031 28098062 42147093 56196124 84294186 112392248 168588372 224784496 337176744 449568992 674353488 899137984 1348706976 1798275968 2697413952 3596551936 5394827904 7193103872 10789655808 21579311616