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53124610401 = 338323705761
BaseRepresentation
bin110001011110011110…
…010011100101100001
312002010100022211022000
4301132132103211201
51332244400013101
640223300434213
73560322511032
oct613636234541
9162110284260
1053124610401
11205915040a5
12a3673a8969
135018203815
1427dd6d2a89
1515add50486
hexc5e793961

53124610401 has 16 divisors (see below), whose sum is σ = 79651360320. Its totient is φ = 34989701760.

The previous prime is 53124610361. The next prime is 53124610403. The reversal of 53124610401 is 10401642135.

It is a happy number.

53124610401 is a `hidden beast` number, since 5 + 3 + 1 + 2 + 4 + 610 + 40 + 1 = 666.

It is not a de Polignac number, because 53124610401 - 215 = 53124577633 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (53124610403) 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 15 ways as a sum of consecutive naturals, for example, 11850640 + ... + 11855121.

It is an arithmetic number, because the mean of its divisors is an integer number (4978210020).

Almost surely, 253124610401 is an apocalyptic number.

It is an amenable number.

53124610401 is a deficient number, since it is larger than the sum of its proper divisors (26526749919).

53124610401 is a wasteful number, since it uses less digits than its factorization.

53124610401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23705853 (or 23705847 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 53124610401 in words is "fifty-three billion, one hundred twenty-four million, six hundred ten thousand, four hundred one".

Divisors: 1 3 9 27 83 249 747 2241 23705761 71117283 213351849 640055547 1967578163 5902734489 17708203467 53124610401