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72741023681 = 372689731117
BaseRepresentation
bin100001110111110110…
…0111110111111000001
320221202110001212111012
41003233230332333001
52142433200224211
653230004330305
75153406333224
oct1035754767701
9227673055435
1072741023681
11289384587a7
12121209a3995
136b23295861
143740a875bb
151d5b09ad8b
hex10efb3efc1

72741023681 has 8 divisors (see below), whose sum is σ = 74734881960. Its totient is φ = 70748633088.

The previous prime is 72741023653. The next prime is 72741023683. The reversal of 72741023681 is 18632014727.

It can be written as a sum of positive squares in 4 ways, for example, as 14014771456 + 58726252225 = 118384^2 + 242335^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72741023681 - 218 = 72740761537 is a prime.

It is a super-2 number, since 2×727410236812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72741023683) 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 7 ways as a sum of consecutive naturals, for example, 266066 + ... + 465051.

It is an arithmetic number, because the mean of its divisors is an integer number (9341860245).

Almost surely, 272741023681 is an apocalyptic number.

It is an amenable number.

72741023681 is a deficient number, since it is larger than the sum of its proper divisors (1993858279).

72741023681 is a wasteful number, since it uses less digits than its factorization.

72741023681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733843.

The product of its (nonzero) digits is 112896, while the sum is 41.

The spelling of 72741023681 in words is "seventy-two billion, seven hundred forty-one million, twenty-three thousand, six hundred eighty-one".

Divisors: 1 37 2689 99493 731117 27051329 1965973613 72741023681