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22721609664 = 2632133034403
BaseRepresentation
bin10101001010010100…
…000011111111000000
32011122111201100211200
4111022110003333000
5333013213002124
614234350541200
71433030331645
oct251224037700
964574640750
1022721609664
1196aa835706
1244a1507800
1321b14b9360
141157941dcc
158ceb6dbc9
hex54a503fc0

22721609664 has 84 divisors (see below), whose sum is σ = 70137214056. Its totient is φ = 6991262208.

The previous prime is 22721609663. The next prime is 22721609761. The reversal of 22721609664 is 46690612722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22721609663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1509714 + ... + 1524689.

It is an arithmetic number, because the mean of its divisors is an integer number (834966834).

Almost surely, 222721609664 is an apocalyptic number.

22721609664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22721609664 is an abundant number, since it is smaller than the sum of its proper divisors (47415604392).

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

22721609664 is a wasteful number, since it uses less digits than its factorization.

22721609664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034434 (or 3034421 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 22721609664 in words is "twenty-two billion, seven hundred twenty-one million, six hundred nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 3034403 6068806 9103209 12137612 18206418 24275224 27309627 36412836 39447239 48550448 54619254 72825672 78894478 97100896 109238508 118341717 145651344 157788956 194201792 218477016 236683434 291302688 315577912 355025151 436954032 473366868 582605376 631155824 710050302 873908064 946733736 1262311648 1420100604 1747816128 1893467472 2524623296 2840201208 3786934944 5680402416 7573869888 11360804832 22721609664