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34679001819 = 3721121446507
BaseRepresentation
bin100000010011000001…
…111001001011011011
310022111211122211012210
4200103001321023123
51032010311024234
623533055210203
72335243436400
oct402301711333
9108454584183
1034679001819
1113786435390
126879b16963
133368883327
14196da2c2a7
15d7e7c4be9
hex8130792db

34679001819 has 24 divisors (see below), whose sum is σ = 58677645888. Its totient is φ = 18015065040.

The previous prime is 34679001739. The next prime is 34679001827. The reversal of 34679001819 is 91810097643.

It is a happy number.

It is not a de Polignac number, because 34679001819 - 27 = 34679001691 is a prime.

It is a super-2 number, since 2×346790018192 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34679000819) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10721637 + ... + 10724870.

It is an arithmetic number, because the mean of its divisors is an integer number (2444901912).

Almost surely, 234679001819 is an apocalyptic number.

34679001819 is a deficient number, since it is larger than the sum of its proper divisors (23998644069).

34679001819 is a wasteful number, since it uses less digits than its factorization.

34679001819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21446535 (or 21446528 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 34679001819 in words is "thirty-four billion, six hundred seventy-nine million, one thousand, eight hundred nineteen".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 1617 21446507 64339521 150125549 235911577 450376647 707734731 1050878843 1651381039 3152636529 4954143117 11559667273 34679001819