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21367422976 = 2165712
BaseRepresentation
bin10011111001100110…
…010000000000000000
32001011010120112221011
4103321212100000000
5322230030013401
613452134010304
71354335045544
oct237146200000
961133515834
1021367422976
119075398159
124183aa6994
132026a8b463
141069b57a24
15850d28451
hex4f9990000

21367422976 has 51 divisors (see below), whose sum is σ = 42809492523. Its totient is φ = 10665000960.

The previous prime is 21367422911. The next prime is 21367422977. The reversal of 21367422976 is 67922476312.

The square root of 21367422976 is 146176.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21367422977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 37420771 + ... + 37421341.

Almost surely, 221367422976 is an apocalyptic number.

21367422976 is the 146176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21367422976

21367422976 is an abundant number, since it is smaller than the sum of its proper divisors (21442069547).

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

21367422976 is an frugal number, since it uses more digits than its factorization.

21367422976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 573 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 49.

Multiplying 21367422976 by its sum of digits (49), we get a square (1047003725824 = 10232322).

The spelling of 21367422976 in words is "twenty-one billion, three hundred sixty-seven million, four hundred twenty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 571 1024 1142 2048 2284 4096 4568 8192 9136 16384 18272 32768 36544 65536 73088 146176 292352 326041 584704 652082 1169408 1304164 2338816 2608328 4677632 5216656 9355264 10433312 18710528 20866624 37421056 41733248 83466496 166932992 333865984 667731968 1335463936 2670927872 5341855744 10683711488 21367422976