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34248013631006 = 273173079565859
BaseRepresentation
bin1111100100101111111001…
…01011111100111000011110
311111021002002221210022112112
413302113330223330320132
513442104412442143011
6200501153102034022
710133223463442000
oct762277453747036
9144232087708475
1034248013631006
11aa0455693a4aa
123a115b2578912
13161575c9129a6
14865881390370
153e5d094ce58b
hex1f25fcafce1e

34248013631006 has 64 divisors (see below), whose sum is σ = 63639753408000. Its totient is φ = 13769325585792.

The previous prime is 34248013630993. The next prime is 34248013631011. The reversal of 34248013631006 is 60013631084243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1202696 + ... + 8363163.

It is an arithmetic number, because the mean of its divisors is an integer number (994371147000).

Almost surely, 234248013631006 is an apocalyptic number.

34248013631006 is a deficient number, since it is larger than the sum of its proper divisors (29391739776994).

34248013631006 is a wasteful number, since it uses less digits than its factorization.

34248013631006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9566206 (or 9566192 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The spelling of 34248013631006 in words is "thirty-four trillion, two hundred forty-eight billion, thirteen million, six hundred thirty-one thousand, six".

Divisors: 1 2 7 14 17 34 49 98 119 238 307 343 614 686 833 1666 2149 4298 5219 5831 10438 11662 15043 30086 36533 73066 105301 210602 255731 511462 1790117 3580234 9565859 19131718 66961013 133922026 162619603 325239206 468727091 937454182 1138337221 2276674442 2936718713 3281089637 5873437426 6562179274 7968360547 15936721094 20557030991 41114061982 49924218121 55778523829 99848436242 111557047658 143899216937 287798433874 349469526847 698939053694 1007294518559 2014589037118 2446286687929 4892573375858 17124006815503 34248013631006