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34845006950 = 2521359818963
BaseRepresentation
bin100000011100111011…
…001001110001100110
310022221102000202102222
4200130323021301212
51032330310210300
624001345232342
72342330446355
oct403473116146
9108842022388
1034845006950
1113861109506
1269056326b2
133394097210
141987ac199c
15d8e166785
hex81cec9c66

34845006950 has 48 divisors (see below), whose sum is σ = 69816687696. Its totient is φ = 12862262400.

The previous prime is 34845006929. The next prime is 34845006961. The reversal of 34845006950 is 5960054843.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3883169 + ... + 3892131.

It is an arithmetic number, because the mean of its divisors is an integer number (1454514327).

Almost surely, 234845006950 is an apocalyptic number.

34845006950 is an abundant number, since it is smaller than the sum of its proper divisors (34971680746).

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

34845006950 is a wasteful number, since it uses less digits than its factorization.

34845006950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14969 (or 14964 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 34845006950 in words is "thirty-four billion, eight hundred forty-five million, six thousand, nine hundred fifty".

Divisors: 1 2 5 10 13 25 26 50 65 130 325 650 5981 8963 11962 17926 29905 44815 59810 77753 89630 116519 149525 155506 224075 233038 299050 388765 448150 582595 777530 1165190 1943825 2912975 3887650 5825950 53607703 107215406 268038515 536077030 696900139 1340192575 1393800278 2680385150 3484500695 6969001390 17422503475 34845006950