Search a number
-
+
54937077073945 = 5111993323563327
BaseRepresentation
bin11000111110111000010001…
…11101101100100000011001
321012111221012100200120001021
430133130020331230200121
524200042113212331240
6312501424513122441
714400033661221253
oct1437341075544031
9235457170616037
1054937077073945
111656075788aa20
1261b320bb59421
13248670c620101
14d7cd7c238cd3
1565408d21154a
hex31f708f6c819

54937077073945 has 32 divisors (see below), whose sum is σ = 75703712071680. Its totient is φ = 37850910459840.

The previous prime is 54937077073909. The next prime is 54937077073973.

54937077073945 is nontrivially palindromic in base 10.

54937077073945 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54937077073945 - 211 = 54937077071897 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97240872 + ... + 97804198.

It is an arithmetic number, because the mean of its divisors is an integer number (2365741002240).

Almost surely, 254937077073945 is an apocalyptic number.

54937077073945 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54937077073945 is a deficient number, since it is larger than the sum of its proper divisors (20766634997735).

54937077073945 is a wasteful number, since it uses less digits than its factorization.

54937077073945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656685.

The product of its (nonzero) digits is 700131600, while the sum is 70.

The spelling of 54937077073945 in words is "fifty-four trillion, nine hundred thirty-seven billion, seventy-seven million, seventy-three thousand, nine hundred forty-five".

Divisors: 1 5 11 19 55 95 209 1045 93323 466615 563327 1026553 1773137 2816635 5132765 6196597 8865685 10703213 19504507 30982985 53516065 97522535 117735343 588676715 52571365621 262856828105 578285021831 998855946799 2891425109155 4994279733995 10987415414789 54937077073945