Search a number
-
+
1245285300168 = 2333713237131713
BaseRepresentation
bin10010000111110000110…
…010011011011111001000
311102001022001222201022000
4102013300302123133020
5130400321014101133
62352024241431000
7155653221255150
oct22076062333710
94361261881260
101245285300168
114401390a63a8
1218141763b460
139057864ab00
14443b4a21760
15225d56d2413
hex121f0c9b7c8

1245285300168 has 384 divisors, whose sum is σ = 4396507948800. Its totient is φ = 319548063744.

The previous prime is 1245285300163. The next prime is 1245285300173. The reversal of 1245285300168 is 8610035825421.

1245285300168 is a `hidden beast` number, since 1 + 2 + 4 + 5 + 285 + 300 + 1 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (1245285300163) and next prime (1245285300173).

It is not an unprimeable number, because it can be changed into a prime (1245285300163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9388680 + ... + 9520392.

It is an arithmetic number, because the mean of its divisors is an integer number (11449239450).

Almost surely, 21245285300168 is an apocalyptic number.

1245285300168 is a gapful number since it is divisible by the number (18) 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 1245285300168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198253974400).

1245285300168 is an abundant number, since it is smaller than the sum of its proper divisors (3151222648632).

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

1245285300168 is a wasteful number, since it uses less digits than its factorization.

1245285300168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131798 (or 131775 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 1245285300168 in words is "one trillion, two hundred forty-five billion, two hundred eighty-five million, three hundred thousand, one hundred sixty-eight".