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2663930817 = 3223611131867
BaseRepresentation
bin1001111011001000…
…0101101111000001
320212122122201002100
42132302011233001
520423431241232
61120201141013
7123005016102
oct23662055701
96778581070
102663930817
1111477a0719
1262418a769
13335b98132
141b3b243a9
15108d0cc7c
hex9ec85bc1

2663930817 has 48 divisors (see below), whose sum is σ = 4119343488. Its totient is φ = 1655216640.

The previous prime is 2663930809. The next prime is 2663930827. The reversal of 2663930817 is 7180393662.

2663930817 is a `hidden beast` number, since 2 + 6 + 639 + 3 + 0 + 8 + 1 + 7 = 666.

2663930817 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2663930817 - 23 = 2663930809 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2663930827) 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, 1425918 + ... + 1427784.

It is an arithmetic number, because the mean of its divisors is an integer number (85819656).

Almost surely, 22663930817 is an apocalyptic number.

It is an amenable number.

2663930817 is a deficient number, since it is larger than the sum of its proper divisors (1455412671).

2663930817 is a wasteful number, since it uses less digits than its factorization.

2663930817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2663930817 is about 51613.2814012053. The cubic root of 2663930817 is about 1386.2481533771.

The spelling of 2663930817 in words is "two billion, six hundred sixty-three million, nine hundred thirty thousand, eight hundred seventeen".

Divisors: 1 3 9 23 61 69 113 183 207 339 549 1017 1403 1867 2599 4209 5601 6893 7797 12627 16803 20679 23391 42941 62037 113887 128823 158539 210971 341661 386469 475617 632913 1024983 1426851 1898739 2619401 4852333 7858203 12869231 14556999 23574609 38607693 43670997 115823079 295992313 887976939 2663930817