Search a number
-
+
13774493322 = 232234347101163
BaseRepresentation
bin11001101010000011…
…00001011010001010
31022112222010202120100
430311001201122022
5211202232241242
610154455110230
7665226155442
oct146501413212
938488122510
1013774493322
115929384787
122805072376
1313b6993b85
14949575122
1555943b54c
hex33506168a

13774493322 has 192 divisors, whose sum is σ = 33068445696. Its totient is φ = 4131388800.

The previous prime is 13774493267. The next prime is 13774493413. The reversal of 13774493322 is 22339447731.

13774493322 is a `hidden beast` number, since 137 + 7 + 4 + 493 + 3 + 22 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84506013 + ... + 84506175.

It is an arithmetic number, because the mean of its divisors is an integer number (172231488).

Almost surely, 213774493322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13774493322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16534222848).

13774493322 is an abundant number, since it is smaller than the sum of its proper divisors (19293952374).

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

13774493322 is a wasteful number, since it uses less digits than its factorization.

13774493322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 382 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The spelling of 13774493322 in words is "thirteen billion, seven hundred seventy-four million, four hundred ninety-three thousand, three hundred twenty-two".