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34462073425 = 5213598117729
BaseRepresentation
bin100000000110000110…
…011000001001010001
310021221201110201101211
4200012012120021101
51031034242322200
623455345500121
72330000535163
oct400606301121
9107851421354
1034462073425
1113684a3a91a
126819341641
13333294ca30
14194ccc0933
15d6a724aba
hex806198251

34462073425 has 24 divisors (see below), whose sum is σ = 46030413240. Its totient is φ = 25443225600.

The previous prime is 34462073389. The next prime is 34462073461. The reversal of 34462073425 is 52437026443.

It is an interprime number because it is at equal distance from previous prime (34462073389) and next prime (34462073461).

It can be written as a sum of positive squares in 12 ways, for example, as 22887756369 + 11574317056 = 151287^2 + 107584^2 .

It is not a de Polignac number, because 34462073425 - 27 = 34462073297 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1934961 + ... + 1952689.

It is an arithmetic number, because the mean of its divisors is an integer number (1917933885).

Almost surely, 234462073425 is an apocalyptic number.

It is an amenable number.

34462073425 is a deficient number, since it is larger than the sum of its proper divisors (11568339815).

34462073425 is a wasteful number, since it uses less digits than its factorization.

34462073425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23733 (or 23728 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 40.

Adding to 34462073425 its reverse (52437026443), we get a palindrome (86899099868).

The spelling of 34462073425 in words is "thirty-four billion, four hundred sixty-two million, seventy-three thousand, four hundred twenty-five".

Divisors: 1 5 13 25 65 325 5981 17729 29905 77753 88645 149525 230477 388765 443225 1152385 1943825 5761925 106037149 530185745 1378482937 2650928725 6892414685 34462073425