Search a number
-
+
14988634416 = 2433731281569
BaseRepresentation
bin11011111010110010…
…00110100100110000
31102200120202112001000
431331121012210300
5221144042300131
610515150242000
71040301201420
oct157531064460
942616675030
1014988634416
1163a1769978
122aa37b6300
13154b399a62
14a22906480
155cad1bce6
hex37d646930

14988634416 has 320 divisors, whose sum is σ = 51025305600. Its totient is φ = 4122316800.

The previous prime is 14988634403. The next prime is 14988634433. The reversal of 14988634416 is 61443688941.

14988634416 is a `hidden beast` number, since 1 + 498 + 86 + 34 + 41 + 6 = 666.

14988634416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×149886344162 (a number of 21 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26341780 + ... + 26342348.

It is an arithmetic number, because the mean of its divisors is an integer number (159454080).

Almost surely, 214988634416 is an apocalyptic number.

14988634416 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 14988634416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25512652800).

14988634416 is an abundant number, since it is smaller than the sum of its proper divisors (36036671184).

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

14988634416 is a wasteful number, since it uses less digits than its factorization.

14988634416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 893 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 14988634416 in words is "fourteen billion, nine hundred eighty-eight million, six hundred thirty-four thousand, four hundred sixteen".