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52084126431 = 3217733464419
BaseRepresentation
bin110000100000011101…
…001011001011011111
311222102211110202121200
4300200131023023133
51323132014021211
635532131330543
73522456525051
oct604035131337
9158384422550
1052084126431
11200a814a097
12a116a50a53
134bb079072c
1427414478d1
15154c823b56
hexc2074b2df

52084126431 has 24 divisors (see below), whose sum is σ = 79766921520. Its totient is φ = 32635581696.

The previous prime is 52084126421. The next prime is 52084126433. The reversal of 52084126431 is 13462148025.

It is a happy number.

52084126431 is a `hidden beast` number, since 5 + 2 + 0 + 8 + 4 + 1 + 2 + 643 + 1 = 666.

52084126431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52084126431 - 229 = 51547255519 is a prime.

It is a super-2 number, since 2×520841264312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52084126433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120061 + ... + 344358.

It is an arithmetic number, because the mean of its divisors is an integer number (3323621730).

Almost surely, 252084126431 is an apocalyptic number.

52084126431 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

52084126431 is a deficient number, since it is larger than the sum of its proper divisors (27682795089).

52084126431 is a wasteful number, since it uses less digits than its factorization.

52084126431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465175 (or 465172 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 52084126431 in words is "fifty-two billion, eighty-four million, one hundred twenty-six thousand, four hundred thirty-one".

Divisors: 1 3 9 17 51 153 733 2199 6597 12461 37383 112149 464419 1393257 4179771 7895123 23685369 71056107 340419127 1021257381 3063772143 5787125159 17361375477 52084126431