Search a number
-
+
1375325568 = 2737173
BaseRepresentation
bin101000111111001…
…1100110110000000
310112211220210000000
41101332130312000
510304040404233
6344250000000
746040034351
oct12176346600
93484823000
101375325568
11646376501
12324716000
1318bc1c816
14d092bd28
1580b1dd13
hex51f9cd80

1375325568 has 256 divisors, whose sum is σ = 4366008000. Its totient is φ = 431474688.

The previous prime is 1375325563. The next prime is 1375325569. The reversal of 1375325568 is 8655235731.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1375325568 is a `hidden beast` number, since 1 + 3 + 7 + 532 + 55 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375325563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80901496 + ... + 80901512.

Almost surely, 21375325568 is an apocalyptic number.

1375325568 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 1375325568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183004000).

1375325568 is an abundant number, since it is smaller than the sum of its proper divisors (2990682432).

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

1375325568 is an frugal number, since it uses more digits than its factorization.

1375325568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 22 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 1375325568 is about 37085.3821336656. The cubic root of 1375325568 is about 1112.0778028133.

The spelling of 1375325568 in words is "one billion, three hundred seventy-five million, three hundred twenty-five thousand, five hundred sixty-eight".