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72044844027 = 3134383517597
BaseRepresentation
bin100001100011000110…
…1010001001111111011
320212221221002021112120
41003012031101033323
52140021440002102
653032535012323
75130224033022
oct1030615211773
9225857067476
1072044844027
1128610488712
1211b6780a0a3
136a41c93330
1436b64258b9
151d19dd06bc
hex10c63513fb

72044844027 has 32 divisors (see below), whose sum is σ = 107130363648. Its totient is φ = 42782414976.

The previous prime is 72044844019. The next prime is 72044844041.

72044844027 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72044844027 - 23 = 72044844019 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72044844027.

It is not an unprimeable number, because it can be changed into a prime (72044844227) 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 31 ways as a sum of consecutive naturals, for example, 119608 + ... + 397989.

It is an arithmetic number, because the mean of its divisors is an integer number (3347823864).

Almost surely, 272044844027 is an apocalyptic number.

72044844027 is a deficient number, since it is larger than the sum of its proper divisors (35085519621).

72044844027 is a wasteful number, since it uses less digits than its factorization.

72044844027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517739.

The product of its (nonzero) digits is 401408, while the sum is 42.

The spelling of 72044844027 in words is "seventy-two billion, forty-four million, eight hundred forty-four thousand, twenty-seven".

Divisors: 1 3 13 39 43 83 129 249 559 1079 1677 3237 3569 10707 46397 139191 517597 1552791 6728761 20186283 22256671 42960551 66770013 128881653 289336723 558487163 868010169 1675461489 1847303693 5541911079 24014948009 72044844027