Search a number
-
+
14997475080 = 23335721671697
BaseRepresentation
bin11011111011110101…
…10100111100001000
31102201012101200011000
431331322310330020
5221203323200310
610520103535000
71040436302100
oct157572647410
942635350130
1014997475080
1163a6758005
122aa675a460
131550173a13
14a23b68200
155cb9b64c0
hex37deb4f08

14997475080 has 384 divisors, whose sum is σ = 58536172800. Its totient is φ = 3405459456.

The previous prime is 14997475069. The next prime is 14997475109. The reversal of 14997475080 is 8057479941.

14997475080 is a `hidden beast` number, since 1 + 4 + 9 + 97 + 47 + 508 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8836792 + ... + 8838488.

It is an arithmetic number, because the mean of its divisors is an integer number (152437950).

Almost surely, 214997475080 is an apocalyptic number.

14997475080 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 14997475080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29268086400).

14997475080 is an abundant number, since it is smaller than the sum of its proper divisors (43538697720).

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

14997475080 is a wasteful number, since it uses less digits than its factorization.

14997475080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 14997475080 in words is "fourteen billion, nine hundred ninety-seven million, four hundred seventy-five thousand, eighty".