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34863884253 = 32111123313589
BaseRepresentation
bin100000011110000011…
…001010011111011101
310022222201112211020100
4200132003022133131
51032400123244003
624003302011313
72342650061262
oct403603123735
9108881484210
1034863884253
1113870832290
12690ba16b39
133397c76613
14198a3d7269
15d90b44ba3
hex81e0ca7dd

34863884253 has 24 divisors (see below), whose sum is σ = 54986124960. Its totient is φ = 21110744160.

The previous prime is 34863884221. The next prime is 34863884323. The reversal of 34863884253 is 35248836843.

34863884253 is a `hidden beast` number, since 3 + 4 + 8 + 6 + 388 + 4 + 253 = 666.

34863884253 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 34863884253 - 25 = 34863884221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34863884253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34863884203) 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, 45618 + ... + 267971.

It is an arithmetic number, because the mean of its divisors is an integer number (2291088540).

Almost surely, 234863884253 is an apocalyptic number.

34863884253 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34863884253 is a deficient number, since it is larger than the sum of its proper divisors (20122240707).

34863884253 is a wasteful number, since it uses less digits than its factorization.

34863884253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314729 (or 314726 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 34863884253 in words is "thirty-four billion, eight hundred sixty-three million, eight hundred eighty-four thousand, two hundred fifty-three".

Divisors: 1 3 9 11 33 99 1123 3369 10107 12353 37059 111177 313589 940767 2822301 3449479 10348437 31045311 352160447 1056481341 3169444023 3873764917 11621294751 34863884253