Search a number
-
+
75242608821 = 32174111994677
BaseRepresentation
bin100011000010011001…
…1110001100010110101
321012012210020120011200
41012010303301202311
52213044101440241
654322130123113
75302403423322
oct1060463614265
9235183216150
1075242608821
1129a01544736
12126ba720499
13713162b653
1438dadcbb49
151e559db4b6
hex1184cf18b5

75242608821 has 24 divisors (see below), whose sum is σ = 117883695384. Its totient is φ = 46059555840.

The previous prime is 75242608781. The next prime is 75242608823. The reversal of 75242608821 is 12880624257.

75242608821 is a `hidden beast` number, since 7 + 524 + 26 + 0 + 88 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 106316721 + 75136292100 = 10311^2 + 274110^2 .

It is not a de Polignac number, because 75242608821 - 221 = 75240511669 is a prime.

It is a super-2 number, since 2×752426088212 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75242608823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5991066 + ... + 6003611.

It is an arithmetic number, because the mean of its divisors is an integer number (4911820641).

Almost surely, 275242608821 is an apocalyptic number.

It is an amenable number.

75242608821 is a deficient number, since it is larger than the sum of its proper divisors (42641086563).

75242608821 is a wasteful number, since it uses less digits than its factorization.

75242608821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11994741 (or 11994738 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 75242608821 in words is "seventy-five billion, two hundred forty-two million, six hundred eight thousand, eight hundred twenty-one".

Divisors: 1 3 9 17 41 51 123 153 369 697 2091 6273 11994677 35984031 107952093 203909509 491781757 611728527 1475345271 1835185581 4426035813 8360289869 25080869607 75242608821