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72316461327 = 3117867278557
BaseRepresentation
bin100001101011001100…
…1011010000100001111
320220122212011212102120
41003112121122010033
52141101003230302
653115520424023
75140032531135
oct1032631320417
9226585155376
1072316461327
112873a836820
1212022778013
136a86334326
14370052b755
151d33b849bc
hex10d665a10f

72316461327 has 16 divisors (see below), whose sum is σ = 105201328512. Its totient is φ = 43822429920.

The previous prime is 72316461281. The next prime is 72316461367.

72316461327 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72316461327 - 215 = 72316428559 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72316461367) 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 15 ways as a sum of consecutive naturals, for example, 120333 + ... + 398889.

It is an arithmetic number, because the mean of its divisors is an integer number (6575083032).

Almost surely, 272316461327 is an apocalyptic number.

72316461327 is a deficient number, since it is larger than the sum of its proper divisors (32884867185).

72316461327 is a wasteful number, since it uses less digits than its factorization.

72316461327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286438.

The product of its digits is 254016, while the sum is 42.

The spelling of 72316461327 in words is "seventy-two billion, three hundred sixteen million, four hundred sixty-one thousand, three hundred twenty-seven".

Divisors: 1 3 11 33 7867 23601 86537 259611 278557 835671 3064127 9192381 2191407919 6574223757 24105487109 72316461327