Search a number
-
+
14828396544 = 2133613191
BaseRepresentation
bin11011100111101011…
…10110000000000000
31102021102020121000000
431303311312000000
5220332032142134
610451224000000
71033314201543
oct156365660000
942242217000
1014828396544
11631a274885
122a5a000000
131524124c50
14a0951485a
155bbc18e99
hex373d76000

14828396544 has 392 divisors, whose sum is σ = 48132991872. Its totient is φ = 4538695680.

The previous prime is 14828396543. The next prime is 14828396567. The reversal of 14828396544 is 44569382841.

14828396544 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 8 + 3 + 96 + 544 = 666.

It is a super-2 number, since 2×148283965442 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (14828396543) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 77635489 + ... + 77635679.

Almost surely, 214828396544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14828396544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24066495936).

14828396544 is an abundant number, since it is smaller than the sum of its proper divisors (33304595328).

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

14828396544 is an frugal number, since it uses more digits than its factorization.

14828396544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 209 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 14828396544 in words is "fourteen billion, eight hundred twenty-eight million, three hundred ninety-six thousand, five hundred forty-four".