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73865999089 = 173215712
BaseRepresentation
bin100010011001011000…
…0011011001011110001
321001122211220112122001
41010302300123023301
52202234143432324
653533352414001
75223316430011
oct1046260331361
9231584815561
1073865999089
1129365481443
12123956a7301
136c7237c48c
14380a247c41
151dc4c16e44
hex1132c1b2f1

73865999089 has 9 divisors (see below), whose sum is σ = 74342760139. Its totient is φ = 73392281320.

The previous prime is 73865999083. The next prime is 73865999101. The reversal of 73865999089 is 98099956837.

The square root of 73865999089 is 271783.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 67192416225 + 6673582864 = 259215^2 + 81692^2 .

It is not a de Polignac number, because 73865999089 - 25 = 73865999057 is a prime.

It is a super-2 number, since 2×738659990892 (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 (73865999083) 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 8 ways as a sum of consecutive naturals, for example, 47017674 + ... + 47019244.

Almost surely, 273865999089 is an apocalyptic number.

73865999089 is the 271783-rd square number.

73865999089 is the 135892-nd centered octagonal number.

It is an amenable number.

73865999089 is a deficient number, since it is larger than the sum of its proper divisors (476761050).

73865999089 is an frugal number, since it uses more digits than its factorization.

73865999089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 73.

The spelling of 73865999089 in words is "seventy-three billion, eight hundred sixty-five million, nine hundred ninety-nine thousand, eighty-nine".

Divisors: 1 173 1571 29929 271783 2468041 47018459 426971093 73865999089