Search a number
-
+
13316927092704 = 25331719791374409
BaseRepresentation
bin1100000111001001011010…
…1101010111011111100000
31202011002022112201221221000
43001302112231113133200
53221141031313431304
644153413432032000
72543054603422404
oct301622655273740
952132275657830
1013316927092704
11427474a199304
1215b0aabb32600
13757a1c6614c1
143407852a9104
1518160ce1a939
hexc1c96b577e0

13316927092704 has 768 divisors, whose sum is σ = 44168302080000. Its totient is φ = 3878466748416.

The previous prime is 13316927092621. The next prime is 13316927092717. The reversal of 13316927092704 is 40729072961331.

13316927092704 is a `hidden beast` number, since 1 + 331 + 6 + 92 + 70 + 92 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3020394052 + ... + 3020398460.

It is an arithmetic number, because the mean of its divisors is an integer number (57510810000).

Almost surely, 213316927092704 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 13316927092704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22084151040000).

13316927092704 is an abundant number, since it is smaller than the sum of its proper divisors (30851374987296).

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

13316927092704 is a wasteful number, since it uses less digits than its factorization.

13316927092704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4680 (or 4666 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 13316927092704 in words is "thirteen trillion, three hundred sixteen billion, nine hundred twenty-seven million, ninety-two thousand, seven hundred four".