Search a number
-
+
32164501541345 = 5291631360884347
BaseRepresentation
bin1110101000000111000011…
…01100000101000111100001
311012212220012102012202021122
413110003201230011013201
513203440344343310340
6152224100143102025
76526544222050565
oct724034154050741
9135786172182248
1032164501541345
11a2809856586a8
1237358425a1915
1314c413a736464
147d2aad53b6a5
153aba14a38db5
hex1d40e1b051e1

32164501541345 has 16 divisors (see below), whose sum is σ = 40173305952960. Its totient is φ = 24691885573824.

The previous prime is 32164501541311. The next prime is 32164501541351. The reversal of 32164501541345 is 54314510546123.

It is a cyclic number.

It is not a de Polignac number, because 32164501541345 - 220 = 32164500492769 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32164501541296 and 32164501541305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680418539 + ... + 680465808.

It is an arithmetic number, because the mean of its divisors is an integer number (2510831622060).

Almost surely, 232164501541345 is an apocalyptic number.

It is an amenable number.

32164501541345 is a deficient number, since it is larger than the sum of its proper divisors (8008804411615).

32164501541345 is a wasteful number, since it uses less digits than its factorization.

32164501541345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360884544.

The product of its (nonzero) digits is 864000, while the sum is 44.

The spelling of 32164501541345 in words is "thirty-two trillion, one hundred sixty-four billion, five hundred one million, five hundred forty-one thousand, three hundred forty-five".

Divisors: 1 5 29 145 163 815 4727 23635 1360884347 6804421735 39465646063 197328230315 221824148561 1109120742805 6432900308269 32164501541345