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83415460061 is a prime number
BaseRepresentation
bin100110110101111110…
…0101110100011011101
321222022100220102101202
41031223330232203131
52331313324210221
6102153122445245
76012053466053
oct1155374564335
9258270812352
1083415460061
113241594184a
12141bb803825
137b349117bb
14407460c1d3
15228327bd0b
hex136bf2e8dd

83415460061 has 2 divisors, whose sum is σ = 83415460062. Its totient is φ = 83415460060.

The previous prime is 83415460033. The next prime is 83415460213. The reversal of 83415460061 is 16006451438.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42242991961 + 41172468100 = 205531^2 + 202910^2 .

It is a cyclic number.

It is not a de Polignac number, because 83415460061 - 222 = 83411265757 is a prime.

It is a super-2 number, since 2×834154600612 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83415459997 and 83415460024.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83415460031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41707730030 + 41707730031.

It is an arithmetic number, because the mean of its divisors is an integer number (41707730031).

Almost surely, 283415460061 is an apocalyptic number.

It is an amenable number.

83415460061 is a deficient number, since it is larger than the sum of its proper divisors (1).

83415460061 is an equidigital number, since it uses as much as digits as its factorization.

83415460061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 83415460061 in words is "eighty-three billion, four hundred fifteen million, four hundred sixty thousand, sixty-one".