Search a number
-
+
73601142133 = 1779113484987
BaseRepresentation
bin100010010001011111…
…0000100110101110101
321000222101112102012011
41010202332010311311
52201213343022013
653451211524221
75213622246211
oct1044276046565
9230871472164
1073601142133
1129239a204a2
1212320a59671
136c2c53759c
1437c2dc1941
151dab84ac3d
hex1122f84d75

73601142133 has 16 divisors (see below), whose sum is σ = 79615630080. Its totient is φ = 67789403136.

The previous prime is 73601142113. The next prime is 73601142149. The reversal of 73601142133 is 33124110637.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-73601142133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 73601142095 and 73601142104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73601142113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90735 + ... + 394252.

It is an arithmetic number, because the mean of its divisors is an integer number (4975976880).

Almost surely, 273601142133 is an apocalyptic number.

It is an amenable number.

73601142133 is a deficient number, since it is larger than the sum of its proper divisors (6014487947).

73601142133 is a wasteful number, since it uses less digits than its factorization.

73601142133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485196.

The product of its (nonzero) digits is 9072, while the sum is 31.

The spelling of 73601142133 in words is "seventy-three billion, six hundred one million, one hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 17 79 113 1343 1921 8927 151759 484987 8244779 38313973 54803531 651337541 931660027 4329478949 73601142133