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73342202017 = 7211531298161
BaseRepresentation
bin100010001001110001…
…0010011000010100001
321000022100021220010111
41010103202103002201
52200201100431032
653405401531321
75204326300600
oct1042342230241
9230270256114
1073342202017
11291168409a7
121226a1a3b41
136bba9b4896
14379a859a37
151d93c4cc47
hex11138930a1

73342202017 has 12 divisors (see below), whose sum is σ = 85390500036. Its totient is φ = 62810173440.

The previous prime is 73342201991. The next prime is 73342202023. The reversal of 73342202017 is 71020224337.

It can be written as a sum of positive squares in 2 ways, for example, as 52693661601 + 20648540416 = 229551^2 + 143696^2 .

It is a de Polignac number, because none of the positive numbers 2k-73342202017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 73342202017.

It is not an unprimeable number, because it can be changed into a prime (73342202047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 592584 + ... + 705577.

It is an arithmetic number, because the mean of its divisors is an integer number (7115875003).

Almost surely, 273342202017 is an apocalyptic number.

It is an amenable number.

73342202017 is a deficient number, since it is larger than the sum of its proper divisors (12048298019).

73342202017 is a wasteful number, since it uses less digits than its factorization.

73342202017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299328 (or 1299321 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The spelling of 73342202017 in words is "seventy-three billion, three hundred forty-two million, two hundred two thousand, seventeen".

Divisors: 1 7 49 1153 8071 56497 1298161 9087127 63609889 1496779633 10477457431 73342202017