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21164305437 = 32114712293701
BaseRepresentation
bin10011101101011111…
…011010110000011101
32000121222101010001100
4103231133122300131
5321321030233222
613420040303313
71346320425252
oct235537326035
960558333040
1021164305437
118a80775a20
124127a71b39
131cc3982172
14104aba3429
1583d0a54ac
hex4ed7dac1d

21164305437 has 48 divisors (see below), whose sum is σ = 34096308480. Its totient is φ = 12540336000.

The previous prime is 21164305433. The next prime is 21164305451. The reversal of 21164305437 is 73450346112.

21164305437 is a `hidden beast` number, since 2 + 1 + 1 + 643 + 0 + 5 + 4 + 3 + 7 = 666.

It is not a de Polignac number, because 21164305437 - 22 = 21164305433 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21164305433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5716687 + ... + 5720387.

It is an arithmetic number, because the mean of its divisors is an integer number (710339760).

Almost surely, 221164305437 is an apocalyptic number.

It is an amenable number.

21164305437 is a deficient number, since it is larger than the sum of its proper divisors (12932003043).

21164305437 is a wasteful number, since it uses less digits than its factorization.

21164305437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4994 (or 4991 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 21164305437 in words is "twenty-one billion, one hundred sixty-four million, three hundred five thousand, four hundred thirty-seven".

Divisors: 1 3 9 11 33 47 99 141 423 517 1229 1551 3687 3701 4653 11061 11103 13519 33309 40557 40711 57763 121671 122133 173289 173947 366399 519867 521841 635393 1565523 1906179 1913417 4548529 5718537 5740251 13645587 17220753 40936761 50033819 150101457 213780863 450304371 641342589 1924027767 2351589493 7054768479 21164305437