Search a number
-
+
1381992749280 = 253551121359383
BaseRepresentation
bin10100000111000101001…
…011111101100011100000
311220010011110011200100000
4110013011023331203200
5140120310120434110
62534513444500000
7201563032355553
oct24070513754340
94803143150300
101381992749280
11493110973300
121a3a0a6aa600
13a0424038230
144ac62c5269a
1525e373231c0
hex141c52fd8e0

1381992749280 has 1728 divisors, whose sum is σ = 5902762844160. Its totient is φ = 303221698560.

The previous prime is 1381992749257. The next prime is 1381992749323. The reversal of 1381992749280 is 829472991831.

1381992749280 is a `hidden beast` number, since 1 + 3 + 81 + 9 + 9 + 274 + 9 + 280 = 666.

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 287 ways as a sum of consecutive naturals, for example, 3608335969 + ... + 3608336351.

It is an arithmetic number, because the mean of its divisors is an integer number (3415950720).

Almost surely, 21381992749280 is an apocalyptic number.

1381992749280 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 1381992749280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951381422080).

1381992749280 is an abundant number, since it is smaller than the sum of its proper divisors (4520770094880).

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

1381992749280 is a wasteful number, since it uses less digits than its factorization.

1381992749280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 1381992749280 in words is "one trillion, three hundred eighty-one billion, nine hundred ninety-two million, seven hundred forty-nine thousand, two hundred eighty".