Search a number
-
+
14964888408816 = 243535882424689
BaseRepresentation
bin1101100111000100100011…
…0110111001001011110000
31221222121222210200201222110
43121301020312321023300
53430141042413040231
651454435210205320
73103114612453413
oct331611066711360
957877883621873
1014964888408816
11484a634411425
121818366a23840
1384724bb57418
1439a43963bb7a
151ae40ede0046
hexd9c48db92f0

14964888408816 has 40 divisors (see below), whose sum is σ = 39388715724240. Its totient is φ = 4894177340416.

The previous prime is 14964888408791. The next prime is 14964888408893. The reversal of 14964888408816 is 61880488846941.

14964888408816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2941209801 + ... + 2941214888.

It is an arithmetic number, because the mean of its divisors is an integer number (984717893106).

Almost surely, 214964888408816 is an apocalyptic number.

14964888408816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14964888408816 is an abundant number, since it is smaller than the sum of its proper divisors (24423827315424).

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

14964888408816 is a wasteful number, since it uses less digits than its factorization.

14964888408816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882424753 (or 5882424747 counting only the distinct ones).

The product of its (nonzero) digits is 679477248, while the sum is 75.

The spelling of 14964888408816 in words is "fourteen trillion, nine hundred sixty-four billion, eight hundred eighty-eight million, four hundred eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2544 5882424689 11764849378 17647274067 23529698756 35294548134 47059397512 70589096268 94118795024 141178192536 282356385072 311768508517 623537017034 935305525551 1247074034068 1870611051102 2494148068136 3741222102204 4988296136272 7482444204408 14964888408816