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21521212512 = 25310116713291
BaseRepresentation
bin10100000010110000…
…111010010001100000
32001112211221212111220
4110002300322101200
5323033412300022
613515310135040
71361213200542
oct240260722140
961484855456
1021521212512
119144188548
1242074b1480
13204c8b6197
14108234b692
1585e5a585c
hex502c3a460

21521212512 has 96 divisors (see below), whose sum is σ = 57398471424. Its totient is φ = 7059648000.

The previous prime is 21521212507. The next prime is 21521212523.

21521212512 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1612587 + ... + 1625877.

It is an arithmetic number, because the mean of its divisors is an integer number (597900744).

Almost surely, 221521212512 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 21521212512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28699235712).

21521212512 is an abundant number, since it is smaller than the sum of its proper divisors (35877258912).

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

21521212512 is a wasteful number, since it uses less digits than its factorization.

21521212512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13572 (or 13564 counting only the distinct ones).

The product of its digits is 800, while the sum is 24.

The spelling of 21521212512 in words is "twenty-one billion, five hundred twenty-one million, two hundred twelve thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 167 202 303 334 404 501 606 668 808 1002 1212 1336 1616 2004 2424 2672 3232 4008 4848 5344 8016 9696 13291 16032 16867 26582 33734 39873 50601 53164 67468 79746 101202 106328 134936 159492 202404 212656 269872 318984 404808 425312 539744 637968 809616 1275936 1342391 1619232 2219597 2684782 4027173 4439194 5369564 6658791 8054346 8878388 10739128 13317582 16108692 17756776 21478256 26635164 32217384 35513552 42956512 53270328 64434768 71027104 106540656 128869536 213081312 224179297 448358594 672537891 896717188 1345075782 1793434376 2690151564 3586868752 5380303128 7173737504 10760606256 21521212512