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72194168141 = 17163227114773
BaseRepresentation
bin100001100111100011…
…0111001010101001101
320220100100001201201022
41003033012321111031
52140323201340031
653055431323525
75134016206214
oct1031706712515
9226310051638
1072194168141
11286877a9077
1211ba98205a5
136a66bb66b4
1436cc1b607b
151d2807997b
hex10cf1b954d

72194168141 has 16 divisors (see below), whose sum is σ = 77249329344. Its totient is φ = 67232519424.

The previous prime is 72194168131. The next prime is 72194168161. The reversal of 72194168141 is 14186149127.

It is a cyclic number.

It is not a de Polignac number, because 72194168141 - 222 = 72189973837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72194168092 and 72194168101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72194168131) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 571631 + ... + 686403.

It is an arithmetic number, because the mean of its divisors is an integer number (4828083084).

Almost surely, 272194168141 is an apocalyptic number.

It is an amenable number.

72194168141 is a deficient number, since it is larger than the sum of its proper divisors (5055161203).

72194168141 is a wasteful number, since it uses less digits than its factorization.

72194168141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115180.

The product of its digits is 96768, while the sum is 44.

The spelling of 72194168141 in words is "seventy-two billion, one hundred ninety-four million, one hundred sixty-eight thousand, one hundred forty-one".

Divisors: 1 17 163 227 2771 3859 37001 114773 629017 1951141 18707999 26053471 318035983 442909007 4246715773 72194168141