Search a number
-
+
14987916300 = 223527192912953
BaseRepresentation
bin11011111010101100…
…10111010000001100
31102200112102000222010
431331112113100030
5221143401310200
610515123021220
71040262120660
oct157526272014
942615360863
1014987916300
1163a1319395
122aa350a810
13154b1a7c36
14a2279a8a0
155cac29150
hex37d59740c

14987916300 has 288 divisors, whose sum is σ = 53971545600. Its totient is φ = 3133347840.

The previous prime is 14987916283. The next prime is 14987916337. The reversal of 14987916300 is 361978941.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14987916300.

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, 1150624 + ... + 1163576.

It is an arithmetic number, because the mean of its divisors is an integer number (187401200).

Almost surely, 214987916300 is an apocalyptic number.

14987916300 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 14987916300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26985772800).

14987916300 is an abundant number, since it is smaller than the sum of its proper divisors (38983629300).

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

14987916300 is a wasteful number, since it uses less digits than its factorization.

14987916300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13025 (or 13018 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 14987916300 in words is "fourteen billion, nine hundred eighty-seven million, nine hundred sixteen thousand, three hundred".