Search a number
-
+
53542333413 = 32101541108877
BaseRepresentation
bin110001110111010111…
…110010101111100101
312010012110100100112200
4301313113302233211
51334123314132123
640332542005113
73603554216262
oct616727625745
9163173310480
1053542333413
1120786284628
12a463276799
13508390bcba
14283cd8c269
1515d5865143
hexc775f2be5

53542333413 has 24 divisors (see below), whose sum is σ = 78249747576. Its totient is φ = 35275824000.

The previous prime is 53542333409. The next prime is 53542333417. The reversal of 53542333413 is 31433324535.

53542333413 is a `hidden beast` number, since 5 + 3 + 5 + 4 + 233 + 3 + 413 = 666.

It is an interprime number because it is at equal distance from previous prime (53542333409) and next prime (53542333417).

It can be written as a sum of positive squares in 4 ways, for example, as 31359805569 + 22182527844 = 177087^2 + 148938^2 .

It is not a de Polignac number, because 53542333413 - 22 = 53542333409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53542333417) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 437331 + ... + 546207.

It is an arithmetic number, because the mean of its divisors is an integer number (3260406149).

Almost surely, 253542333413 is an apocalyptic number.

It is an amenable number.

53542333413 is a deficient number, since it is larger than the sum of its proper divisors (24707414163).

53542333413 is a wasteful number, since it uses less digits than its factorization.

53542333413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109525 (or 109522 counting only the distinct ones).

The product of its digits is 194400, while the sum is 36.

Adding to 53542333413 its reverse (31433324535), we get a palindrome (84975657948).

The spelling of 53542333413 in words is "fifty-three billion, five hundred forty-two million, three hundred thirty-three thousand, four hundred thirteen".

Divisors: 1 3 9 101 303 541 909 1623 4869 54641 108877 163923 326631 491769 979893 10996577 32989731 58902457 98969193 176707371 530122113 5949148157 17847444471 53542333413