Search a number
-
+
14989103136 = 2538723147
BaseRepresentation
bin11011111010110101…
…11001000000100000
31102200121122100000000
431331122321000200
5221144202300021
610515204300000
71040305163100
oct157532710040
942617570000
1014989103136
1163a1a5a047
122aa39a1600
13154b5021c7
14a229c9200
155cadb0b26
hex37d6b9020

14989103136 has 648 divisors, whose sum is σ = 54280751616. Its totient is φ = 4056272640.

The previous prime is 14989103123. The next prime is 14989103153. The reversal of 14989103136 is 63130198941.

It is a tau number, because it is divible by the number of its divisors (648).

It is a junction number, because it is equal to n+sod(n) for n = 14989103091 and 14989103100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 318917065 + ... + 318917111.

It is an arithmetic number, because the mean of its divisors is an integer number (83766592).

Almost surely, 214989103136 is an apocalyptic number.

14989103136 is a gapful number since it is divisible by the number (16) 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 14989103136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27140375808).

14989103136 is an abundant number, since it is smaller than the sum of its proper divisors (39291648480).

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

14989103136 is an frugal number, since it uses more digits than its factorization.

14989103136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 14989103136 in words is "fourteen billion, nine hundred eighty-nine million, one hundred three thousand, one hundred thirty-six".