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741361475361 = 313193173156113
BaseRepresentation
bin10101100100111001001…
…01100101111100100001
32121212120202102001022210
422302130211211330201
544121302014202421
61324324325152333
7104363425365153
oct12623445457441
92555522361283
10741361475361
11266456253291
12bb82055b6a9
1354baa5ccb10
1427c4c636ad3
1514440374576
hexac9c965f21

741361475361 has 32 divisors (see below), whose sum is σ = 1124081562240. Its totient is φ = 430847161344.

The previous prime is 741361475357. The next prime is 741361475369. The reversal of 741361475361 is 163574163147.

741361475361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 741361475361 - 22 = 741361475357 is a prime.

It is a super-4 number, since 4×7413614753614 (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 741361475361.

It is not an unprimeable number, because it can be changed into a prime (741361475369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343160 + ... + 1812953.

It is an arithmetic number, because the mean of its divisors is an integer number (35127548820).

Almost surely, 2741361475361 is an apocalyptic number.

It is an amenable number.

741361475361 is a deficient number, since it is larger than the sum of its proper divisors (382720086879).

741361475361 is a wasteful number, since it uses less digits than its factorization.

741361475361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156465.

The product of its digits is 1270080, while the sum is 48.

The spelling of 741361475361 in words is "seven hundred forty-one billion, three hundred sixty-one million, four hundred seventy-five thousand, three hundred sixty-one".

Divisors: 1 3 13 19 39 57 247 317 741 951 4121 6023 12363 18069 78299 234897 3156113 9468339 41029469 59966147 123088407 179898441 779559911 1000487821 2338679733 3001463463 13006341673 19009268599 39019025019 57027805797 247120491787 741361475361