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21534502416 = 2437199293631
BaseRepresentation
bin10100000011100011…
…100110111000010000
32001120202222001211120
4110003203212320100
5323100313034131
613520503042240
71361434151610
oct240343467020
961522861746
1021534502416
119150735439
12420ba40380
13205258a32b
14108400aa40
1586082d496
hex5038e6e10

21534502416 has 160 divisors (see below), whose sum is σ = 67014758400. Its totient is φ = 5821009920.

The previous prime is 21534502393. The next prime is 21534502427. The reversal of 21534502416 is 61420543512.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5928921 + ... + 5932551.

It is an arithmetic number, because the mean of its divisors is an integer number (418842240).

Almost surely, 221534502416 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 21534502416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33507379200).

21534502416 is an abundant number, since it is smaller than the sum of its proper divisors (45480255984).

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

21534502416 is a wasteful number, since it uses less digits than its factorization.

21534502416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4597 (or 4591 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 21534502416 in words is "twenty-one billion, five hundred thirty-four million, five hundred two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 929 1064 1596 1858 2128 2787 3192 3631 3716 5574 6384 6503 7262 7432 10893 11148 13006 14524 14864 17651 19509 21786 22296 25417 26012 29048 35302 39018 43572 44592 50834 52024 52953 58096 68989 70604 76251 78036 87144 101668 104048 105906 123557 137978 141208 152502 156072 174288 203336 206967 211812 247114 275956 282416 305004 312144 370671 406672 413934 423624 482923 494228 551912 610008 741342 827868 847248 965846 988456 1103824 1220016 1448769 1482684 1655736 1931692 1976912 2897538 2965368 3311472 3373199 3863384 5795076 5930736 6746398 7726768 10119597 11590152 13492796 20239194 23180304 23612393 26985592 40478388 47224786 53971184 64090781 70837179 80956776 94449572 128181562 141674358 161913552 188899144 192272343 256363124 283348716 377798288 384544686 448635467 512726248 566697432 769089372 897270934 1025452496 1133394864 1345906401 1538178744 1794541868 2691812802 3076357488 3589083736 5383625604 7178167472 10767251208 21534502416