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72713616465 = 3572923879677
BaseRepresentation
bin100001110111000010…
…0011011110001010001
320221200112111102212010
41003232010123301101
52142404141211330
653223145053133
75152624353630
oct1035604336121
9227615442763
1072713616465
1128923a39306
12121137871a9
136b1a6baa79
14373b191517
151d589853b0
hex10ee11bc51

72713616465 has 32 divisors (see below), whose sum is σ = 137546945280. Its totient is φ = 32094284544.

The previous prime is 72713616421. The next prime is 72713616487. The reversal of 72713616465 is 56461631727.

It is a happy number.

It is not a de Polignac number, because 72713616465 - 221 = 72711519313 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11936794 + ... + 11942883.

It is an arithmetic number, because the mean of its divisors is an integer number (4298342040).

Almost surely, 272713616465 is an apocalyptic number.

It is an amenable number.

72713616465 is a deficient number, since it is larger than the sum of its proper divisors (64833328815).

72713616465 is a wasteful number, since it uses less digits than its factorization.

72713616465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23879721.

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

The spelling of 72713616465 in words is "seventy-two billion, seven hundred thirteen million, six hundred sixteen thousand, four hundred sixty-five".

Divisors: 1 3 5 7 15 21 29 35 87 105 145 203 435 609 1015 3045 23879677 71639031 119398385 167157739 358195155 501473217 692510633 835788695 2077531899 2507366085 3462553165 4847574431 10387659495 14542723293 24237872155 72713616465