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21264380037 = 332712906161
BaseRepresentation
bin10011110011011101…
…001011000010000101
32000212221200102121000
4103303131023002011
5322022140130122
613434013243513
71351644151035
oct236335130205
960787612530
1021264380037
1190222084aa
124155493599
13200b6208c4
14105a1b38c5
15846c720ac
hex4f374b085

21264380037 has 16 divisors (see below), whose sum is σ = 31619042560. Its totient is φ = 14123937600.

The previous prime is 21264380023. The next prime is 21264380057. The reversal of 21264380037 is 73008346212.

It is a happy number.

21264380037 is a `hidden beast` number, since 2 + 1 + 2 + 643 + 8 + 0 + 0 + 3 + 7 = 666.

It is not a de Polignac number, because 21264380037 - 210 = 21264379013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21264379983 and 21264380010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21264380057) 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 15 ways as a sum of consecutive naturals, for example, 1445764 + ... + 1460397.

It is an arithmetic number, because the mean of its divisors is an integer number (1976190160).

Almost surely, 221264380037 is an apocalyptic number.

21264380037 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

21264380037 is a deficient number, since it is larger than the sum of its proper divisors (10354662523).

21264380037 is a wasteful number, since it uses less digits than its factorization.

21264380037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906441 (or 2906435 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 21264380037 in words is "twenty-one billion, two hundred sixty-four million, three hundred eighty thousand, thirty-seven".

Divisors: 1 3 9 27 271 813 2439 7317 2906161 8718483 26155449 78466347 787569631 2362708893 7088126679 21264380037