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34455212415 = 32513311899929
BaseRepresentation
bin100000000101101100…
…001101000101111111
310021221020120010212100
4200011230031011333
51031031013244130
623454542440143
72326555321221
oct400554150577
9107836503770
1034455212415
1113681084068
126816b93053
1333313b9b70
14194c016411
15d69d1bc60
hex805b0d17f

34455212415 has 48 divisors (see below), whose sum is σ = 66391153920. Its totient is φ = 16415377920.

The previous prime is 34455212411. The next prime is 34455212431. The reversal of 34455212415 is 51421255443.

34455212415 is a `hidden beast` number, since 344 + 55 + 21 + 241 + 5 = 666.

It is not a de Polignac number, because 34455212415 - 22 = 34455212411 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34455212415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34455212411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 931830 + ... + 968099.

It is an arithmetic number, because the mean of its divisors is an integer number (1383149040).

Almost surely, 234455212415 is an apocalyptic number.

34455212415 is a deficient number, since it is larger than the sum of its proper divisors (31935941505).

34455212415 is a wasteful number, since it uses less digits than its factorization.

34455212415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899984 (or 1899981 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

Adding to 34455212415 its reverse (51421255443), we get a palindrome (85876467858).

The spelling of 34455212415 in words is "thirty-four billion, four hundred fifty-five million, two hundred twelve thousand, four hundred fifteen".

Divisors: 1 3 5 9 13 15 31 39 45 65 93 117 155 195 279 403 465 585 1209 1395 2015 3627 6045 18135 1899929 5699787 9499645 17099361 24699077 28498935 58897799 74097231 85496805 123495385 176693397 222291693 294488995 370486155 530080191 765671387 883466985 1111458465 2297014161 2650400955 3828356935 6891042483 11485070805 34455212415