Search a number
-
+
1568198024640 = 263451314533203
BaseRepresentation
bin10110110100011111111…
…000101101110111000000
312112220210102020202010000
4112310133320231313000
5201143132143242030
63200230434040000
7221204260162512
oct26643770556700
95486712222100
101568198024640
115550839a1725
12213b16419000
13b4b5a42ba40
1455c88c13bb2
152abd46b1860
hex16d1fe2ddc0

1568198024640 has 560 divisors, whose sum is σ = 6013471974048. Its totient is φ = 385631870976.

The previous prime is 1568198024573. The next prime is 1568198024647. The reversal of 1568198024640 is 464208918651.

1568198024640 is a `hidden beast` number, since 1 + 568 + 19 + 8 + 0 + 2 + 4 + 64 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (1568198024647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 489601279 + ... + 489604481.

Almost surely, 21568198024640 is an apocalyptic number.

1568198024640 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 1568198024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006735987024).

1568198024640 is an abundant number, since it is smaller than the sum of its proper divisors (4445273949408).

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

1568198024640 is a wasteful number, since it uses less digits than its factorization.

1568198024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4698 (or 4679 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1568198024640 in words is "one trillion, five hundred sixty-eight billion, one hundred ninety-eight million, twenty-four thousand, six hundred forty".