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34411053006 = 232111091594433
BaseRepresentation
bin100000000011000011…
…101111111111001110
310021211011110121112200
4200003003233333032
51030433212144011
623450324142330
72325511060461
oct400303577716
9107734417480
1034411053006
1113659162490
1268042379a6
1333251c8035
1419461dd2d8
15d65ee7856
hex8030effce

34411053006 has 48 divisors (see below), whose sum is σ = 82081462320. Its totient is φ = 10331919360.

The previous prime is 34411052999. The next prime is 34411053011. The reversal of 34411053006 is 60035011443.

34411053006 is a `hidden beast` number, since 344 + 1 + 10 + 5 + 300 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 775635 + ... + 818798.

It is an arithmetic number, because the mean of its divisors is an integer number (1710030465).

Almost surely, 234411053006 is an apocalyptic number.

34411053006 is an abundant number, since it is smaller than the sum of its proper divisors (47670409314).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34411053006 is a wasteful number, since it uses less digits than its factorization.

34411053006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594561 (or 1594558 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 34411053006 its reverse (60035011443), we get a palindrome (94446064449).

The spelling of 34411053006 in words is "thirty-four billion, four hundred eleven million, fifty-three thousand, six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 109 198 218 327 654 981 1199 1962 2398 3597 7194 10791 21582 1594433 3188866 4783299 9566598 14349897 17538763 28699794 35077526 52616289 105232578 157848867 173793197 315697734 347586394 521379591 1042759182 1564138773 1911725167 3128277546 3823450334 5735175501 11470351002 17205526503 34411053006