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83145302217 = 329238366913
BaseRepresentation
bin100110101101111011…
…0001010000011001001
321221121112112222111200
41031123312022003021
52330240144132332
6102110232214413
76002263256625
oct1153366120311
9257545488450
1083145302217
11322973a01aa
121414523a409
137ac0961ba3
14404a7a6185
1522696b517c
hex135bd8a0c9

83145302217 has 6 divisors (see below), whose sum is σ = 120098769882. Its totient is φ = 55430201472.

The previous prime is 83145302183. The next prime is 83145302221. The reversal of 83145302217 is 71220354138.

83145302217 is a `hidden beast` number, since 83 + 14 + 530 + 22 + 17 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48530327616 + 34614974601 = 220296^2 + 186051^2 .

It is not a de Polignac number, because 83145302217 - 214 = 83145285833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83145302237) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4619183448 + ... + 4619183465.

It is an arithmetic number, because the mean of its divisors is an integer number (20016461647).

Almost surely, 283145302217 is an apocalyptic number.

It is an amenable number.

83145302217 is a deficient number, since it is larger than the sum of its proper divisors (36953467665).

83145302217 is a wasteful number, since it uses less digits than its factorization.

83145302217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9238366919 (or 9238366916 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 83145302217 in words is "eighty-three billion, one hundred forty-five million, three hundred two thousand, two hundred seventeen".

Divisors: 1 3 9 9238366913 27715100739 83145302217