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34361626253 = 929190119457
BaseRepresentation
bin100000000000000111…
…001100111010001101
310021200201110110210012
4200000013030322031
51030333034020003
623441400523005
72324341001243
oct400007147215
9107621413705
1034361626253
1113633273429
1267ab780465
133317bb0836
14193d814793
15d619d28d8
hex8001cce8d

34361626253 has 8 divisors (see below), whose sum is σ = 34418477880. Its totient is φ = 34304819200.

The previous prime is 34361626223. The next prime is 34361626291. The reversal of 34361626253 is 35262616343.

It can be written as a sum of positive squares in 4 ways, for example, as 2184484 + 34359441769 = 1478^2 + 185363^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34361626253 - 214 = 34361609869 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 34361626253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34361626213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1756301 + ... + 1775757.

It is an arithmetic number, because the mean of its divisors is an integer number (4302309735).

Almost surely, 234361626253 is an apocalyptic number.

It is an amenable number.

34361626253 is a deficient number, since it is larger than the sum of its proper divisors (56851627).

34361626253 is a wasteful number, since it uses less digits than its factorization.

34361626253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22287.

The product of its digits is 466560, while the sum is 41.

The spelling of 34361626253 in words is "thirty-four billion, three hundred sixty-one million, six hundred twenty-six thousand, two hundred fifty-three".

Divisors: 1 929 1901 19457 1766029 18075553 36987757 34361626253