Search a number
-
+
15051906000 = 24355330971
BaseRepresentation
bin11100000010010100…
…11101101111010000
31102211222211001100000
432001022131233100
5221311241443000
610525330330000
71042000042605
oct160112355720
942758731300
1015051906000
11642445483a
122b00a29900
13155b520b71
14a2b0966ac
155d1669000
hex38129dbd0

15051906000 has 240 divisors, whose sum is σ = 54520135488. Its totient is φ = 4013712000.

The previous prime is 15051905987. The next prime is 15051906007. The reversal of 15051906000 is 60915051.

15051906000 is a `hidden beast` number, since 1 + 5 + 0 + 51 + 9 + 0 + 600 + 0 = 666.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15051906007) 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, 470515 + ... + 501485.

Almost surely, 215051906000 is an apocalyptic number.

15051906000 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 15051906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27260067744).

15051906000 is an abundant number, since it is smaller than the sum of its proper divisors (39468229488).

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

15051906000 is an equidigital number, since it uses as much as digits as its factorization.

15051906000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31009 (or 30981 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The spelling of 15051906000 in words is "fifteen billion, fifty-one million, nine hundred six thousand".