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13005452335 = 57121493463
BaseRepresentation
bin11000001110010111…
…10111010000101111
31020120101001102122211
430013023313100233
5203113343433320
65550303551251
7640200343441
oct140713672057
936511042584
1013005452335
115574269917
12262b5bb527
1312c3560635
148b5388491
15511b7c55a
hex3072f742f

13005452335 has 24 divisors (see below), whose sum is σ = 15940288800. Its totient is φ = 10186034880.

The previous prime is 13005452321. The next prime is 13005452371. The reversal of 13005452335 is 53325450031.

It is not a de Polignac number, because 13005452335 - 229 = 12468581423 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13005452297 and 13005452306.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3753814 + ... + 3757276.

It is an arithmetic number, because the mean of its divisors is an integer number (664178700).

Almost surely, 213005452335 is an apocalyptic number.

13005452335 is a deficient number, since it is larger than the sum of its proper divisors (2934836465).

13005452335 is an equidigital number, since it uses as much as digits as its factorization.

13005452335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 31.

The spelling of 13005452335 in words is "thirteen billion, five million, four hundred fifty-two thousand, three hundred thirty-five".

Divisors: 1 5 71 149 355 745 3463 5041 10579 17315 25205 52895 245873 515987 751109 1229365 2579935 3755545 17456983 36635077 87284915 183175385 2601090467 13005452335