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21291964848 = 24327111920271
BaseRepresentation
bin10011110101000110…
…011001100110110000
32000221212120212211200
4103311012121212300
5322101220333343
613440440411200
71352430500160
oct236506314660
960855525750
1021291964848
119036839370
124162776b00
13201425b48b
14105db145a0
158493c04d3
hex4f51999b0

21291964848 has 120 divisors (see below), whose sum is σ = 74291483136. Its totient is φ = 5530377600.

The previous prime is 21291964747. The next prime is 21291964853. The reversal of 21291964848 is 84846919212.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21291964794 and 21291964803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949048 + ... + 971223.

Almost surely, 221291964848 is an apocalyptic number.

21291964848 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

21291964848 is an abundant number, since it is smaller than the sum of its proper divisors (52999518288).

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

21291964848 is a wasteful number, since it uses less digits than its factorization.

21291964848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920303 (or 1920294 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 21291964848 in words is "twenty-one billion, two hundred ninety-one million, nine hundred sixty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 1920271 3840542 5760813 7681084 11521626 13441897 15362168 17282439 21122981 23043252 26883794 30724336 34564878 40325691 42245962 46086504 53767588 63368943 69129756 80651382 84491924 92173008 107535176 120977073 126737886 138259512 147860867 161302764 168983848 190106829 215070352 241954146 253475772 276519024 295721734 322605528 337967696 380213658 443582601 483908292 506951544 591443468 645211056 760427316 887165202 967816584 1013903088 1182886936 1330747803 1520854632 1774330404 1935633168 2365773872 2661495606 3041709264 3548660808 5322991212 7097321616 10645982424 21291964848