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13408160274 = 23219263149069
BaseRepresentation
bin11000111110011000…
…00100101000010010
31021121102211010002200
430133030010220102
5204424442112044
610054251224030
7653160324165
oct143714045022
937542733080
1013408160274
1157606142a3
122722448016
131358b0c662
14912a55adc
155371c8369
hex31f304a12

13408160274 has 48 divisors (see below), whose sum is σ = 30696494400. Its totient is φ = 4218028128.

The previous prime is 13408160273. The next prime is 13408160323. The reversal of 13408160274 is 47206180431.

13408160274 is a `hidden beast` number, since 1 + 3 + 40 + 8 + 1 + 602 + 7 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (13408160273) 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, 15412 + ... + 164480.

It is an arithmetic number, because the mean of its divisors is an integer number (639510300).

Almost surely, 213408160274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13408160274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15348247200).

13408160274 is an abundant number, since it is smaller than the sum of its proper divisors (17288334126).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13408160274 is a wasteful number, since it uses less digits than its factorization.

13408160274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149359 (or 149356 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 13408160274 in words is "thirteen billion, four hundred eight million, one hundred sixty thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 263 342 526 789 1578 2367 4734 4997 9994 14991 29982 44973 89946 149069 298138 447207 894414 1341621 2683242 2832311 5664622 8496933 16993866 25490799 39205147 50981598 78410294 117615441 235230882 352846323 705692646 744897793 1489795586 2234693379 4469386758 6704080137 13408160274