Search a number
-
+
14947794000 = 2433531719857
BaseRepresentation
bin11011110101111010…
…10011110001010000
31102120201220121112000
431322331103301100
5221103113402000
610511131034000
71036264103226
oct157275236120
942521817460
1014947794000
116380704967
122a91b9b900
131542a9a829
14a1b314b16
155c7451000
hex37af53c50

14947794000 has 640 divisors, whose sum is σ = 59749747200. Its totient is φ = 3550003200.

The previous prime is 14947793999. The next prime is 14947794011. The reversal of 14947794000 is 49774941.

14947794000 is a `hidden beast` number, since 1 + 494 + 77 + 94 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17441572 + ... + 17442428.

It is an arithmetic number, because the mean of its divisors is an integer number (93358980).

Almost surely, 214947794000 is an apocalyptic number.

14947794000 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 14947794000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29874873600).

14947794000 is an abundant number, since it is smaller than the sum of its proper divisors (44801953200).

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

14947794000 is a wasteful number, since it uses less digits than its factorization.

14947794000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 14947794000 in words is "fourteen billion, nine hundred forty-seven million, seven hundred ninety-four thousand".