Search a number
-
+
15425043840 = 273451723761
BaseRepresentation
bin11100101110110011…
…10111110110000000
31110210222221102020000
432113121313312000
5223042302400330
611030340120000
71054150465203
oct162731676600
943728842200
1015425043840
1165a6042818
122ba5996000
1315ba91879b
14a6486793a
156042c3560
hex397677d80

15425043840 has 640 divisors, whose sum is σ = 60941833920. Its totient is φ = 3698196480.

The previous prime is 15425043833. The next prime is 15425043853. The reversal of 15425043840 is 4834052451.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×154250438403 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 15425043795 and 15425043804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20269060 + ... + 20269820.

Almost surely, 215425043840 is an apocalyptic number.

15425043840 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 15425043840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30470916960).

15425043840 is an abundant number, since it is smaller than the sum of its proper divisors (45516790080).

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

15425043840 is a wasteful number, since it uses less digits than its factorization.

15425043840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 15425043840 in words is "fifteen billion, four hundred twenty-five million, forty-three thousand, eight hundred forty".