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83056386337 = 533097150599
BaseRepresentation
bin100110101011010001…
…0111110000100100001
321221101100020120211221
41031112202332010201
52330044413330322
6102053334335041
76000133430641
oct1152642760441
9257340216757
1083056386337
113225118a401
121411b4ba481
137aa83cc542
14403ca5c521
15226199e9c7
hex13568be121

83056386337 has 8 divisors (see below), whose sum is σ = 84627892800. Its totient is φ = 81485043120.

The previous prime is 83056386323. The next prime is 83056386409. The reversal of 83056386337 is 73368365038.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-83056386337 is a prime.

It is a super-2 number, since 2×830563863372 (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 (83056381337) 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 7 ways as a sum of consecutive naturals, for example, 1616164 + ... + 1666762.

It is an arithmetic number, because the mean of its divisors is an integer number (10578486600).

Almost surely, 283056386337 is an apocalyptic number.

It is an amenable number.

83056386337 is a deficient number, since it is larger than the sum of its proper divisors (1571506463).

83056386337 is a wasteful number, since it uses less digits than its factorization.

83056386337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81623.

The product of its (nonzero) digits is 6531840, while the sum is 52.

The spelling of 83056386337 in words is "eighty-three billion, fifty-six million, three hundred eighty-six thousand, three hundred thirty-seven".

Divisors: 1 53 30971 50599 1641463 2681747 1567101629 83056386337