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3500346430053 = 321123786872321
BaseRepresentation
bin110010111011111100111…
…001111101001001100101
3110101122000011100110101100
4302323330321331021211
5424322202141230203
611240011551550313
7510614563511544
oct62737471751145
913348004313340
103500346430053
11112a541340200
12486482b2b399
131c5109683c75
14c15bc13815b
15610ba9a7ea3
hex32efce7d265

3500346430053 has 36 divisors (see below), whose sum is σ = 5707685300044. Its totient is φ = 2064086323200.

The previous prime is 3500346430027. The next prime is 3500346430117.

3500346430053 is a `hidden beast` number, since 3 + 5 + 0 + 0 + 3 + 4 + 643 + 0 + 0 + 5 + 3 = 666.

3500346430053 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 3241609399809 + 258737030244 = 1800447^2 + 508662^2 .

It is not a de Polignac number, because 3500346430053 - 228 = 3500077994597 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3500346431053) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43395868 + ... + 43476453.

Almost surely, 23500346430053 is an apocalyptic number.

3500346430053 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3500346430053 is a deficient number, since it is larger than the sum of its proper divisors (2207338869991).

3500346430053 is a wasteful number, since it uses less digits than its factorization.

3500346430053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86872386 (or 86872372 counting only the distinct ones).

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

The spelling of 3500346430053 in words is "three trillion, five hundred billion, three hundred forty-six million, four hundred thirty thousand, fifty-three".

Divisors: 1 3 9 11 33 37 99 111 121 333 363 407 1089 1221 3663 4477 13431 40293 86872321 260616963 781850889 955595531 2866786593 3214275877 8600359779 9642827631 10511550841 28928482893 31534652523 35357034647 94603957569 106071103941 318213311823 388927381117 1166782143351 3500346430053