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10187845769 is a prime number
BaseRepresentation
bin10010111110011111…
…00011000010001001
3222022000020012002002
421133033203002021
5131331042031034
64402532520345
7510315155153
oct113717430211
928260205062
1010187845769
114358856352
121b83a800b5
13c648aa50a
146c909dad3
153e9615e7e
hex25f3e3089

10187845769 has 2 divisors, whose sum is σ = 10187845770. Its totient is φ = 10187845768.

The previous prime is 10187845691. The next prime is 10187845813. The reversal of 10187845769 is 96754878101.

It is a happy number.

10187845769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8106661369 + 2081184400 = 90037^2 + 45620^2 .

It is a cyclic number.

It is not a de Polignac number, because 10187845769 - 28 = 10187845513 is a prime.

It is a super-2 number, since 2×101878457692 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10187805769) 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 as a sum of consecutive naturals, namely, 5093922884 + 5093922885.

It is an arithmetic number, because the mean of its divisors is an integer number (5093922885).

Almost surely, 210187845769 is an apocalyptic number.

It is an amenable number.

10187845769 is a deficient number, since it is larger than the sum of its proper divisors (1).

10187845769 is an equidigital number, since it uses as much as digits as its factorization.

10187845769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3386880, while the sum is 56.

The spelling of 10187845769 in words is "ten billion, one hundred eighty-seven million, eight hundred forty-five thousand, seven hundred sixty-nine".