Search a number
-
+
45933213141 = 3237137937577
BaseRepresentation
bin101010110001110101…
…010011010111010101
311101120011102222211100
4222301311103113111
51223032400310031
633033524100313
73214160604204
oct526165232725
9141504388740
1045933213141
1118531112982
128a9ab34699
13444036617a
14231a59323b
1512dc82ade6
hexab1d535d5

45933213141 has 12 divisors (see below), whose sum is σ = 68141163532. Its totient is φ = 29794516416.

The previous prime is 45933213119. The next prime is 45933213149. The reversal of 45933213141 is 14131233954.

45933213141 is a `hidden beast` number, since 4 + 5 + 9 + 332 + 1 + 314 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33508766916 + 12424446225 = 183054^2 + 111465^2 .

It is not a de Polignac number, because 45933213141 - 26 = 45933213077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45933213096 and 45933213105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45933213149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68968456 + ... + 68969121.

Almost surely, 245933213141 is an apocalyptic number.

It is an amenable number.

45933213141 is a deficient number, since it is larger than the sum of its proper divisors (22207950391).

45933213141 is a wasteful number, since it uses less digits than its factorization.

45933213141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137937620 (or 137937617 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The spelling of 45933213141 in words is "forty-five billion, nine hundred thirty-three million, two hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 9 37 111 333 137937577 413812731 1241438193 5103690349 15311071047 45933213141