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8136253193 = 1713121672
BaseRepresentation
bin1111001001111010…
…10101111100001001
3210000000210111010212
413210331111330021
5113130340100233
63423204050505
7405424003535
oct74475257411
923000714125
108136253193
1134a57804a2
1216b0993a35
139c883ac03
14572814bc5
15329461a48
hex1e4f55f09

8136253193 has 18 divisors (see below), whose sum is σ = 8733414618. Its totient is φ = 7553690560.

The previous prime is 8136253187. The next prime is 8136253219. The reversal of 8136253193 is 3913526318.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7657650064 + 478603129 = 87508^2 + 21877^2 .

It is not a de Polignac number, because 8136253193 - 218 = 8135991049 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8136253193.

It is not an unprimeable number, because it can be changed into a prime (8136253493) 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 in 17 ways as a sum of consecutive naturals, for example, 48719996 + ... + 48720162.

It is an arithmetic number, because the mean of its divisors is an integer number (485189701).

Almost surely, 28136253193 is an apocalyptic number.

It is an amenable number.

8136253193 is a deficient number, since it is larger than the sum of its proper divisors (597161425).

8136253193 is an equidigital number, since it uses as much as digits as its factorization.

8136253193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 315 counting only the distinct ones).

The product of its digits is 116640, while the sum is 41.

The square root of 8136253193 is about 90201.1817716376. The cubic root of 8136253193 is about 2011.2905742755.

The spelling of 8136253193 in words is "eight billion, one hundred thirty-six million, two hundred fifty-three thousand, one hundred ninety-three".

Divisors: 1 17 131 167 2227 2839 17161 21877 27889 291737 371909 474113 2865887 3653459 48720079 62108803 478603129 8136253193