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34182091153 = 72697593697
BaseRepresentation
bin11111110101011010…
…010101000110010001
310021020012122010221001
4133311122111012101
51030001103404103
623411504502001
72320030660300
oct376532250621
9107205563831
1034182091153
1113550999011
12675b61a901
1332b9940452
141923a3c437
15d50d6c01d
hex7f5695191

34182091153 has 6 divisors (see below), whose sum is σ = 39762840786. Its totient is φ = 29298935232.

The previous prime is 34182091147. The next prime is 34182091157. The reversal of 34182091153 is 35119028143.

It can be written as a sum of positive squares in only one way, i.e., 34037298064 + 144793089 = 184492^2 + 12033^2 .

It is not a de Polignac number, because 34182091153 - 221 = 34179994001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34182091157) 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 5 ways as a sum of consecutive naturals, for example, 348796800 + ... + 348796897.

It is an arithmetic number, because the mean of its divisors is an integer number (6627140131).

Almost surely, 234182091153 is an apocalyptic number.

It is an amenable number.

34182091153 is a deficient number, since it is larger than the sum of its proper divisors (5580749633).

34182091153 is an equidigital number, since it uses as much as digits as its factorization.

34182091153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697593711 (or 697593704 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 34182091153 in words is "thirty-four billion, one hundred eighty-two million, ninety-one thousand, one hundred fifty-three".

Divisors: 1 7 49 697593697 4883155879 34182091153