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52306142301 = 3272934496311
BaseRepresentation
bin110000101101101100…
…000110010001011101
312000000022020100010200
4300231230012101131
51324110333023201
640010142054113
73531123605460
oct605554062135
9160008210120
1052306142301
11202014a9986
12a17927a339
134c1778587a
142762b1b2d7
15156207b386
hexc2db0645d

52306142301 has 48 divisors (see below), whose sum is σ = 86848070400. Its totient is φ = 29716162560.

The previous prime is 52306142237. The next prime is 52306142309. The reversal of 52306142301 is 10324160325.

52306142301 is a `hidden beast` number, since 5 + 23 + 0 + 614 + 23 + 0 + 1 = 666.

It is not a de Polignac number, because 52306142301 - 26 = 52306142237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52306142309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8284936 + ... + 8291246.

It is an arithmetic number, because the mean of its divisors is an integer number (1809334800).

Almost surely, 252306142301 is an apocalyptic number.

It is an amenable number.

52306142301 is a deficient number, since it is larger than the sum of its proper divisors (34541928099).

52306142301 is a wasteful number, since it uses less digits than its factorization.

52306142301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7066 (or 7063 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 52306142301 in words is "fifty-two billion, three hundred six million, one hundred forty-two thousand, three hundred one".

Divisors: 1 3 7 9 21 63 293 449 879 1347 2051 2637 3143 4041 6153 6311 9429 18459 18933 28287 44177 56799 131557 132531 394671 397593 920899 1184013 1849123 2762697 2833639 5547369 8288091 8500917 12943861 16642107 19835473 25502751 38831583 59506419 116494749 178519257 830256227 2490768681 5811793589 7472306043 17435380767 52306142301