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21213520064 = 2611196125999
BaseRepresentation
bin10011110000011011…
…001010000011000000
32000202101222110211022
4103300123022003000
5321421130120224
613424555205012
71350455642162
oct236033120300
960671873738
1021213520064
118aa652a670
124140446768
132000c23c49
141053534932
1584257765e
hex4f06ca0c0

21213520064 has 112 divisors (see below), whose sum is σ = 49133760000. Its totient is φ = 8984908800.

The previous prime is 21213520063. The next prime is 21213520073. The reversal of 21213520064 is 46002531212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21213520061) 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, 802937 + ... + 828935.

Almost surely, 221213520064 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 21213520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24566880000).

21213520064 is an abundant number, since it is smaller than the sum of its proper divisors (27920239936).

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

21213520064 is a wasteful number, since it uses less digits than its factorization.

21213520064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26102 (or 26092 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 21213520064 in words is "twenty-one billion, two hundred thirteen million, five hundred twenty thousand, sixty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 61 64 76 88 122 152 176 209 244 304 352 418 488 608 671 704 836 976 1159 1216 1342 1672 1952 2318 2684 3344 3904 4636 5368 6688 9272 10736 12749 13376 18544 21472 25498 25999 37088 42944 50996 51998 74176 101992 103996 203984 207992 285989 407968 415984 493981 571978 815936 831968 987962 1143956 1585939 1663936 1975924 2287912 3171878 3951848 4575824 5433791 6343756 7903696 9151648 10867582 12687512 15807392 17445329 18303296 21735164 25375024 30132841 31614784 34890658 43470328 50750048 60265682 69781316 86940656 101500096 120531364 139562632 173881312 241062728 279125264 331461251 347762624 482125456 558250528 662922502 964250912 1116501056 1325845004 1928501824 2651690008 5303380016 10606760032 21213520064