Search a number
-
+
1768542130368 = 263313292714753
BaseRepresentation
bin11001101111000101010…
…100110101000011000000
320021001220202000210221000
4121233011110311003000
5212433433241132433
63432242415332000
7241526060034306
oct31570524650300
96231822023830
101768542130368
11622041a21622
12246909221000
13caa07b1c270
14618528aa276
153100ce58113
hex19bc55350c0

1768542130368 has 224 divisors, whose sum is σ = 5792199134400. Its totient is φ = 525402243072.

The previous prime is 1768542130343. The next prime is 1768542130447. The reversal of 1768542130368 is 8630312458671.

1768542130368 is a `hidden beast` number, since 1 + 7 + 6 + 8 + 542 + 1 + 30 + 3 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 705921 + ... + 2008832.

It is an arithmetic number, because the mean of its divisors is an integer number (25858031850).

Almost surely, 21768542130368 is an apocalyptic number.

1768542130368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1768542130368 is an abundant number, since it is smaller than the sum of its proper divisors (4023657004032).

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

1768542130368 is a wasteful number, since it uses less digits than its factorization.

1768542130368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714816 (or 2714800 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1768542130368 in words is "one trillion, seven hundred sixty-eight billion, five hundred forty-two million, one hundred thirty thousand, three hundred sixty-eight".