Search a number
-
+
14982896880 = 24325719473329
BaseRepresentation
bin11011111010000110…
…01101110011110000
31102200011222000121200
431331003031303300
5221141110200010
610514423251200
71040201344050
oct157503156360
942604860550
1014982896880
116399500206
122aa18a9b00
13154a13b373
14a21c51560
155ca586cc0
hex37d0cdcf0

14982896880 has 480 divisors, whose sum is σ = 61838899200. Its totient is φ = 3174432768.

The previous prime is 14982896879. The next prime is 14982896911. The reversal of 14982896880 is 8869828941.

14982896880 is a `hidden beast` number, since 1 + 498 + 2 + 8 + 9 + 68 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 4499056 + ... + 4502384.

It is an arithmetic number, because the mean of its divisors is an integer number (128831040).

Almost surely, 214982896880 is an apocalyptic number.

14982896880 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 14982896880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30919449600).

14982896880 is an abundant number, since it is smaller than the sum of its proper divisors (46856002320).

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

14982896880 is a wasteful number, since it uses less digits than its factorization.

14982896880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 14982896880 in words is "fourteen billion, nine hundred eighty-two million, eight hundred ninety-six thousand, eight hundred eighty".