Search a number
-
+
15761113440 = 25351711317093
BaseRepresentation
bin11101010110110111…
…11000000101100000
31111200102022112001020
432223123320011200
5224234321112230
611123543205440
71065401153022
oct165333700540
944612275036
1015761113440
116758812896
12307a446880
131642435137
14a9734a012
15623a59810
hex3ab6f8160

15761113440 has 192 divisors, whose sum is σ = 53036254656. Its totient is φ = 3920494592.

The previous prime is 15761113411. The next prime is 15761113483. The reversal of 15761113440 is 4431116751.

15761113440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 913534 + ... + 930626.

It is an arithmetic number, because the mean of its divisors is an integer number (276230493).

Almost surely, 215761113440 is an apocalyptic number.

15761113440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15761113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26518127328).

15761113440 is an abundant number, since it is smaller than the sum of its proper divisors (37275141216).

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

15761113440 is a wasteful number, since it uses less digits than its factorization.

15761113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17241 (or 17233 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 15761113440 in words is "fifteen billion, seven hundred sixty-one million, one hundred thirteen thousand, four hundred forty".