Search a number
-
+
18125367120 = 24325723156361
BaseRepresentation
bin10000111000010110…
…110010011101010000
31201210012002001101100
4100320112302131100
5244110043221440
612154321304400
71211110035630
oct207026623520
951705061340
1018125367120
11776132a653
12361a195100
13192b1b6403
14c3d3426c0
157113be230
hex4385b2750

18125367120 has 240 divisors, whose sum is σ = 72591996672. Its totient is φ = 3962787840.

The previous prime is 18125367083. The next prime is 18125367121. The reversal of 18125367120 is 2176352181.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18125367121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37740 + ... + 194100.

Almost surely, 218125367120 is an apocalyptic number.

18125367120 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 18125367120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36295998336).

18125367120 is an abundant number, since it is smaller than the sum of its proper divisors (54466629552).

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

18125367120 is a wasteful number, since it uses less digits than its factorization.

18125367120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156410 (or 156401 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 18125367120 in words is "eighteen billion, one hundred twenty-five million, three hundred sixty-seven thousand, one hundred twenty".