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54239246257 = 721106923393
BaseRepresentation
bin110010100000111010…
…010011011110110001
312012000000201012020111
4302200322103132301
51342040221340012
640530035141321
73630045662200
oct624072233661
9165000635214
1054239246257
1121003705559
12a618744841
13516510a171
1428a7761237
151626b27ba7
hexca0e937b1

54239246257 has 6 divisors (see below), whose sum is σ = 63094633458. Its totient is φ = 46490782464.

The previous prime is 54239246207. The next prime is 54239246339. The reversal of 54239246257 is 75264293245.

54239246257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 53934953121 + 304293136 = 232239^2 + 17444^2 .

It is not a de Polignac number, because 54239246257 - 215 = 54239213489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49), and also a Moran number because the ratio is a prime number: 1106923393 = 54239246257 / (5 + 4 + 2 + 3 + 9 + 2 + 4 + 6 + 2 + 5 + 7).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 54239246257.

It is not an unprimeable number, because it can be changed into a prime (54239246207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 553461648 + ... + 553461745.

It is an arithmetic number, because the mean of its divisors is an integer number (10515772243).

Almost surely, 254239246257 is an apocalyptic number.

It is an amenable number.

54239246257 is a deficient number, since it is larger than the sum of its proper divisors (8855387201).

54239246257 is a wasteful number, since it uses less digits than its factorization.

54239246257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106923407 (or 1106923400 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 49.

The spelling of 54239246257 in words is "fifty-four billion, two hundred thirty-nine million, two hundred forty-six thousand, two hundred fifty-seven".

Divisors: 1 7 49 1106923393 7748463751 54239246257