Search a number
-
+
13774930884 = 2232112131741349
BaseRepresentation
bin11001101010000110…
…01100001111000100
31022112222221222210100
430311003030033010
5211202340242014
610154512324100
7665232660231
oct146503141704
938488858710
1013774930884
115929653500
122805243630
1313b6ab80a0
1494964a788
155594c6009
hex3350cc3c4

13774930884 has 432 divisors, whose sum is σ = 44834353200. Its totient is φ = 3527884800.

The previous prime is 13774930877. The next prime is 13774930903. The reversal of 13774930884 is 48803947731.

13774930884 is a `hidden beast` number, since 1 + 3 + 77 + 493 + 0 + 8 + 84 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 586705284 + 13188225600 = 24222^2 + 114840^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13774930884.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39469542 + ... + 39469890.

It is an arithmetic number, because the mean of its divisors is an integer number (103783225).

Almost surely, 213774930884 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13774930884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22417176600).

13774930884 is an abundant number, since it is smaller than the sum of its proper divisors (31059422316).

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

13774930884 is a wasteful number, since it uses less digits than its factorization.

13774930884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 13774930884 in words is "thirteen billion, seven hundred seventy-four million, nine hundred thirty thousand, eight hundred eighty-four".