Search a number
-
+
54139293145 = 5725112235039
BaseRepresentation
bin110010011010111101…
…000000110111011001
312011202001122001100101
4302122331000313121
51341334124340040
640512104535401
73624423253540
oct623275006731
9164661561311
1054139293145
1120a62246283
12a5ab181561
13514a4b1b02
142898383157
15161ce8209a
hexc9af40dd9

54139293145 has 32 divisors (see below), whose sum is σ = 74619740160. Its totient is φ = 36938616000.

The previous prime is 54139293137. The next prime is 54139293149.

54139293145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54139293145 - 23 = 54139293137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54139293095 and 54139293104.

It is not an unprimeable number, because it can be changed into a prime (54139293149) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10741536 + ... + 10746574.

It is an arithmetic number, because the mean of its divisors is an integer number (2331866880).

Almost surely, 254139293145 is an apocalyptic number.

It is an amenable number.

54139293145 is a deficient number, since it is larger than the sum of its proper divisors (20480447015).

54139293145 is a wasteful number, since it uses less digits than its factorization.

54139293145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6525.

The product of its digits is 583200, while the sum is 46.

The spelling of 54139293145 in words is "fifty-four billion, one hundred thirty-nine million, two hundred ninety-three thousand, one hundred forty-five".

Divisors: 1 5 7 35 251 1223 1255 1757 5039 6115 8561 8785 25195 35273 42805 176365 306973 1264789 1534865 2148811 6162697 6323945 8853523 10744055 30813485 43138879 44267615 215694395 1546836947 7734184735 10827858629 54139293145