Search a number
-
+
12042354746500 = 22531353103463733
BaseRepresentation
bin1010111100111101010001…
…0001101110010010000100
31120122020102102000011020021
42233033110101232102010
53034300220303342000
641340103103144524
72352013530301321
oct257172421562204
946566372004207
1012042354746500
113923152346831
121425a802a5144
13694787574c70
142d8bd2bc9b48
1515d3b14e011a
hexaf3d446e484

12042354746500 has 384 divisors, whose sum is σ = 29240972587008. Its totient is φ = 4304947046400.

The previous prime is 12042354746483. The next prime is 12042354746501. The reversal of 12042354746500 is 564745324021.

It is not an unprimeable number, because it can be changed into a prime (12042354746501) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16428860134 + ... + 16428860866.

It is an arithmetic number, because the mean of its divisors is an integer number (76148366112).

Almost surely, 212042354746500 is an apocalyptic number.

12042354746500 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 12042354746500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14620486293504).

12042354746500 is an abundant number, since it is smaller than the sum of its proper divisors (17198617840508).

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

12042354746500 is a wasteful number, since it uses less digits than its factorization.

12042354746500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 43.

The spelling of 12042354746500 in words is "twelve trillion, forty-two billion, three hundred fifty-four million, seven hundred forty-six thousand, five hundred".