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10186838377 is a prime number
BaseRepresentation
bin10010111110010111…
…01101000101101001
3222021221100000012021
421133023231011221
5131330312312002
64402455144441
7510303461152
oct113713550551
928257300167
1010186838377
1143582284a1
121b83675121
13c64616b21
146c8cba929
153e94b7737
hex25f2ed169

10186838377 has 2 divisors, whose sum is σ = 10186838378. Its totient is φ = 10186838376.

The previous prime is 10186838371. The next prime is 10186838443. The reversal of 10186838377 is 77383868101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5232930921 + 4953907456 = 72339^2 + 70384^2 .

It is a cyclic number.

It is not a de Polignac number, because 10186838377 - 211 = 10186836329 is a prime.

It is a super-2 number, since 2×101868383772 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10186838371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5093419188 + 5093419189.

It is an arithmetic number, because the mean of its divisors is an integer number (5093419189).

Almost surely, 210186838377 is an apocalyptic number.

It is an amenable number.

10186838377 is a deficient number, since it is larger than the sum of its proper divisors (1).

10186838377 is an equidigital number, since it uses as much as digits as its factorization.

10186838377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1354752, while the sum is 52.

The spelling of 10186838377 in words is "ten billion, one hundred eighty-six million, eight hundred thirty-eight thousand, three hundred seventy-seven".