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20640176415 = 32510730713963
BaseRepresentation
bin10011001110010000…
…000001100100011111
31222021110010121012100
4103032100001210133
5314232341121130
613252034340143
71330324414305
oct231620014437
958243117170
1020640176415
118831929041
12400042a653
131c3c1cc451
14ddb32a275
1580c072c60
hex4ce40191f

20640176415 has 48 divisors (see below), whose sum is σ = 36230882688. Its totient is φ = 10868914368.

The previous prime is 20640176413. The next prime is 20640176419. The reversal of 20640176415 is 51467104602.

20640176415 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 0 + 1 + 7 + 641 + 5 = 666.

It is not a de Polignac number, because 20640176415 - 21 = 20640176413 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20640176415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20640176413) 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, 1471224 + ... + 1485186.

It is an arithmetic number, because the mean of its divisors is an integer number (754810056).

Almost surely, 220640176415 is an apocalyptic number.

20640176415 is a deficient number, since it is larger than the sum of its proper divisors (15590706273).

20640176415 is a wasteful number, since it uses less digits than its factorization.

20640176415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14388 (or 14385 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 20640176415 in words is "twenty billion, six hundred forty million, one hundred seventy-six thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 45 107 307 321 535 921 963 1535 1605 2763 4605 4815 13815 13963 32849 41889 69815 98547 125667 164245 209445 295641 492735 628335 1478205 1494041 4286641 4482123 7470205 12859923 13446369 21433205 22410615 38579769 64299615 67231845 192898845 458670587 1376011761 2293352935 4128035283 6880058805 20640176415