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21071424264 = 23311899472
BaseRepresentation
bin10011100111111101…
…000110101100001000
32000101111121021000220
4103213331012230020
5321123241034024
613402521430040
71344112102542
oct234775065410
960344537026
1021071424264
118a332a6a20
12410093b320
131caa6619a7
14103c706692
15834d59e79
hex4e7f46b08

21071424264 has 96 divisors (see below), whose sum is σ = 58174653600. Its totient is φ = 6306868480.

The previous prime is 21071424259. The next prime is 21071424317. The reversal of 21071424264 is 46242417012.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22250239 + ... + 22251185.

It is an arithmetic number, because the mean of its divisors is an integer number (605985975).

Almost surely, 221071424264 is an apocalyptic number.

21071424264 is a gapful number since it is divisible by the number (24) 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 21071424264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29087326800).

21071424264 is an abundant number, since it is smaller than the sum of its proper divisors (37103229336).

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

21071424264 is an equidigital number, since it uses as much as digits as its factorization.

21071424264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 21071424264 in words is "twenty-one billion, seventy-one million, four hundred twenty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 89 132 178 264 267 356 534 712 947 979 1068 1894 1958 2136 2841 2937 3788 3916 5682 5874 7576 7832 10417 11364 11748 20834 22728 23496 31251 41668 62502 83336 84283 125004 168566 250008 252849 337132 505698 674264 896809 927113 1011396 1793618 1854226 2022792 2690427 2781339 3587236 3708452 5380854 5562678 7174472 7416904 9864899 10761708 11125356 19729798 21523416 22250712 29594697 39459596 59189394 78919192 79816001 118378788 159632002 236757576 239448003 319264004 478896006 638528008 877976011 957792012 1755952022 1915584024 2633928033 3511904044 5267856066 7023808088 10535712132 21071424264