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34135496754 = 2341913578161
BaseRepresentation
bin11111110010101000…
…100101100000110010
310021002221221220102120
4133302220211200302
51024402141344004
623403122055110
72315623635462
oct376250454062
9107087856376
1034135496754
1113527663a47
126747aaa496
1332b00a81b8
14191b78dba2
15d4bc163d9
hex7f2a25832

34135496754 has 16 divisors (see below), whose sum is σ = 68433936480. Its totient is φ = 11351341760.

The previous prime is 34135496711. The next prime is 34135496777. The reversal of 34135496754 is 45769453143.

It is a super-3 number, since 3×341354967543 (a number of 33 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 34135496697 and 34135496706.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6786567 + ... + 6791594.

It is an arithmetic number, because the mean of its divisors is an integer number (4277121030).

Almost surely, 234135496754 is an apocalyptic number.

34135496754 is an abundant number, since it is smaller than the sum of its proper divisors (34298439726).

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

34135496754 is a wasteful number, since it uses less digits than its factorization.

34135496754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13578585.

The product of its digits is 5443200, while the sum is 51.

The spelling of 34135496754 in words is "thirty-four billion, one hundred thirty-five million, four hundred ninety-six thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 419 838 1257 2514 13578161 27156322 40734483 81468966 5689249459 11378498918 17067748377 34135496754