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83132688197 = 1367186151287
BaseRepresentation
bin100110101101100011…
…0000010011101000101
321221120122211010022202
41031123012002131011
52330223432010242
6102105102004245
76002051122226
oct1153306023505
9257518733282
1083132688197
1132290265099
1214140b76685
137abb166580
144048c4124d
152268522932
hex135b182745

83132688197 has 16 divisors (see below), whose sum is σ = 90914339712. Its totient is φ = 75550432320.

The previous prime is 83132688187. The next prime is 83132688229. The reversal of 83132688197 is 79188623138.

It is a cyclic number.

It is not a de Polignac number, because 83132688197 - 212 = 83132684101 is a prime.

It is a super-2 number, since 2×831326881972 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83132688157) 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 15 ways as a sum of consecutive naturals, for example, 1595288 + ... + 1646574.

It is an arithmetic number, because the mean of its divisors is an integer number (5682146232).

Almost surely, 283132688197 is an apocalyptic number.

It is an amenable number.

83132688197 is a deficient number, since it is larger than the sum of its proper divisors (7781651515).

83132688197 is a wasteful number, since it uses less digits than its factorization.

83132688197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53228.

The product of its digits is 3483648, while the sum is 56.

The spelling of 83132688197 in words is "eighty-three billion, one hundred thirty-two million, six hundred eighty-eight thousand, one hundred ninety-seven".

Divisors: 1 13 67 871 1861 24193 51287 124687 666731 1620931 3436229 44670977 95445107 1240786391 6394822169 83132688197