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34483961521 = 317229347441
BaseRepresentation
bin100000000111011001…
…110111111010110001
310022000020122202020001
4200013121313322301
51031110343232041
623501450550001
72330354556652
oct400731677261
9108006582201
1034483961521
111369632a759
126824738301
133337344679
141951b7b529
15d6c5ea131
hex807677eb1

34483961521 has 8 divisors (see below), whose sum is σ = 34608559464. Its totient is φ = 34359463680.

The previous prime is 34483961507. The next prime is 34483961539. The reversal of 34483961521 is 12516938443.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 77792400 + 34406169121 = 8820^2 + 185489^2 .

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 34483961521 - 221 = 34481864369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34483961581) 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 7 ways as a sum of consecutive naturals, for example, 703161 + ... + 750601.

It is an arithmetic number, because the mean of its divisors is an integer number (4326069933).

Almost surely, 234483961521 is an apocalyptic number.

It is an amenable number.

34483961521 is a deficient number, since it is larger than the sum of its proper divisors (124597943).

34483961521 is a wasteful number, since it uses less digits than its factorization.

34483961521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50051.

The product of its digits is 622080, while the sum is 46.

It can be divided in two parts, 34483 and 961521, that added together give a square (996004 = 9982).

The spelling of 34483961521 in words is "thirty-four billion, four hundred eighty-three million, nine hundred sixty-one thousand, five hundred twenty-one".

Divisors: 1 317 2293 47441 726881 15038797 108782213 34483961521