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34210209056 = 2510310379311
BaseRepresentation
bin11111110111000101…
…100101110100100000
310021022011112200102212
4133313011211310200
51030030303142211
623414351301252
72320521656552
oct376705456440
9107264480385
1034210209056
1113565853451
126768b1a828
1332c270686a
14192767b4d2
15d5357338b
hex7f7165d20

34210209056 has 24 divisors (see below), whose sum is σ = 68005252224. Its totient is φ = 16939033920.

The previous prime is 34210209053. The next prime is 34210209067. The reversal of 34210209056 is 65090201243.

It is a happy number.

It is a super-2 number, since 2×342102090562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (34210209053) 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 3 ways as a sum of consecutive naturals, for example, 5186360 + ... + 5192951.

It is an arithmetic number, because the mean of its divisors is an integer number (2833552176).

Almost surely, 234210209056 is an apocalyptic number.

It is an amenable number.

34210209056 is a deficient number, since it is larger than the sum of its proper divisors (33795043168).

34210209056 is a wasteful number, since it uses less digits than its factorization.

34210209056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10379424 (or 10379416 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 34210209056 in words is "thirty-four billion, two hundred ten million, two hundred nine thousand, fifty-six".

Divisors: 1 2 4 8 16 32 103 206 412 824 1648 3296 10379311 20758622 41517244 83034488 166068976 332137952 1069069033 2138138066 4276276132 8552552264 17105104528 34210209056