Search a number
-
+
2190086935057 = 73183121597187
BaseRepresentation
bin11111110111101011010…
…110101001001000010001
321202100222220221122211001
4133313223112221020101
5241340244223410212
64354040111422001
7314141252536060
oct37675326511021
97670886848731
102190086935057
117748a0a8562a
122b4553824901
1312b6a7bb3c38
147800219c1d7
153be81017657
hex1fdeb5a9211

2190086935057 has 16 divisors (see below), whose sum is σ = 2614825930752. Its totient is φ = 1794774465360.

The previous prime is 2190086935039. The next prime is 2190086935087. The reversal of 2190086935057 is 7505396800912.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2190086935057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2190086934989 and 2190086935007.

It is not an unprimeable number, because it can be changed into a prime (2190086935087) 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 in 15 ways as a sum of consecutive naturals, for example, 60780583 + ... + 60816604.

It is an arithmetic number, because the mean of its divisors is an integer number (163426620672).

Almost surely, 22190086935057 is an apocalyptic number.

It is an amenable number.

2190086935057 is a deficient number, since it is larger than the sum of its proper divisors (424738995695).

2190086935057 is a wasteful number, since it uses less digits than its factorization.

2190086935057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121597308.

The product of its (nonzero) digits is 4082400, while the sum is 55.

The spelling of 2190086935057 in words is "two trillion, one hundred ninety billion, eighty-six million, nine hundred thirty-five thousand, fifty-seven".

Divisors: 1 7 31 83 217 581 2573 18011 121597187 851180309 3769512797 10092566521 26386589579 70647965647 312869562151 2190086935057