Search a number
-
+
72474733747427 = 1159743315023731
BaseRepresentation
bin10000011110101001010110…
…110000101001110011100011
3100111121111221210202201022212
4100132221112300221303203
533444411223314404202
6414050233312152335
721160061315303504
oct2036512660516343
9314544853681285
1072474733747427
11211023a8873930
1281661098386ab
13315945196c41b
1413c7b1da84bab
1585a37a38e652
hex41ea56c29ce3

72474733747427 has 16 divisors (see below), whose sum is σ = 80414225055360. Its totient is φ = 64760689588800.

The previous prime is 72474733747387. The next prime is 72474733747433.

72474733747427 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 72474733747427 - 218 = 72474733485283 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72474733747447) 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 15 ways as a sum of consecutive naturals, for example, 2687849 + ... + 12335882.

It is an arithmetic number, because the mean of its divisors is an integer number (5025889065960).

Almost surely, 272474733747427 is an apocalyptic number.

72474733747427 is a deficient number, since it is larger than the sum of its proper divisors (7939491307933).

72474733747427 is a wasteful number, since it uses less digits than its factorization.

72474733747427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15031234.

The product of its digits is 1084253184, while the sum is 68.

The spelling of 72474733747427 in words is "seventy-two trillion, four hundred seventy-four billion, seven hundred thirty-three million, seven hundred forty-seven thousand, four hundred twenty-seven".

Divisors: 1 11 59 649 7433 81763 438547 4824017 15023731 165261041 886400129 9750401419 111671392523 1228385317753 6588612158857 72474733747427