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21823962912 = 253275777649
BaseRepresentation
bin10100010100110011…
…110011111100100000
32002022221122011222200
4110110303303330200
5324143413303122
614005323133200
71401550424013
oct242463637440
962287564880
1021823962912
11928a070394
124290974200
13209a537b2b
1410b063937a
1587ae595ac
hex514cf3f20

21823962912 has 36 divisors (see below), whose sum is σ = 62061895350. Its totient is φ = 7274654208.

The previous prime is 21823962911. The next prime is 21823962931. The reversal of 21823962912 is 21926932812.

21823962912 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 3 + 9 + 629 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13235121936 + 8588840976 = 115044^2 + 92676^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (21823962911) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 37888537 + ... + 37889112.

Almost surely, 221823962912 is an apocalyptic number.

It is an amenable number.

21823962912 is an abundant number, since it is smaller than the sum of its proper divisors (40237932438).

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

21823962912 is a wasteful number, since it uses less digits than its factorization.

21823962912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75777665 (or 75777654 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 21823962912 in words is "twenty-one billion, eight hundred twenty-three million, nine hundred sixty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 75777649 151555298 227332947 303110596 454665894 606221192 681998841 909331788 1212442384 1363997682 1818663576 2424884768 2727995364 3637327152 5455990728 7274654304 10911981456 21823962912