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34220062561 = 23264688209
BaseRepresentation
bin11111110111101011…
…001011011101100001
310021022212002021220111
4133313223023131201
51030040314000221
623415342411321
72321001506146
oct376753133541
9107285067814
1034220062561
1113570373543
126770290b41
1332c4776839
141928ac43cd
15d5436cbe1
hex7f7acb761

34220062561 has 6 divisors (see below), whose sum is σ = 35772580130. Its totient is φ = 32732233248.

The previous prime is 34220062543. The next prime is 34220062577. The reversal of 34220062561 is 16526002243.

It can be written as a sum of positive squares in only one way, i.e., 19203030625 + 15017031936 = 138575^2 + 122544^2 .

It is not a de Polignac number, because 34220062561 - 217 = 34219931489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34220062531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32343576 + ... + 32344633.

Almost surely, 234220062561 is an apocalyptic number.

It is an amenable number.

34220062561 is a deficient number, since it is larger than the sum of its proper divisors (1552517569).

34220062561 is an equidigital number, since it uses as much as digits as its factorization.

34220062561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64688255 (or 64688232 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 34220062561 in words is "thirty-four billion, two hundred twenty million, sixty-two thousand, five hundred sixty-one".

Divisors: 1 23 529 64688209 1487828807 34220062561