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2334242618876 = 2273137563129097
BaseRepresentation
bin100001111101111011101…
…100111011110111111100
322021011002101022011001202
4201331323230323313330
5301221012102301001
64544200344155032
7330433464613460
oct41757354736774
98234071264052
102334242618876
1181aa46117503
12318485168a78
1313c16c70662c
1480d996a84a0
1540abb9b296b
hex21f7bb3bdfc

2334242618876 has 96 divisors (see below), whose sum is σ = 4958156378112. Its totient is φ = 940273297920.

The previous prime is 2334242618843. The next prime is 2334242618887. The reversal of 2334242618876 is 6788162424332.

It is a super-3 number, since 3×23342426188763 (a number of 38 digits) contains 333 as substring.

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, 18016760 + ... + 18145856.

It is an arithmetic number, because the mean of its divisors is an integer number (51647462272).

Almost surely, 22334242618876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2334242618876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479078189056).

2334242618876 is an abundant number, since it is smaller than the sum of its proper divisors (2623913759236).

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

2334242618876 is a wasteful number, since it uses less digits than its factorization.

2334242618876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129739 (or 129737 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 56.

The spelling of 2334242618876 in words is "two trillion, three hundred thirty-four billion, two hundred forty-two million, six hundred eighteen thousand, eight hundred seventy-six".

Divisors: 1 2 4 7 14 28 31 37 62 74 124 148 217 259 434 518 563 868 1036 1126 1147 2252 2294 3941 4588 7882 8029 15764 16058 17453 20831 32116 34906 41662 69812 83324 122171 129097 145817 244342 258194 291634 488684 516388 583268 645761 903679 1291522 1807358 2583044 3614716 4002007 4520327 4776589 8004014 9040654 9553178 16008028 18081308 19106356 28014049 33436123 56028098 66872246 72681611 112056196 133744492 145363222 148074259 290726444 296148518 508771277 592297036 1017542554 1036519813 2035085108 2073039626 2253129941 2689219607 4146079252 4506259882 5378439214 9012519764 10756878428 15771909587 18824537249 31543819174 37649074498 63087638348 75298148996 83365807817 166731615634 333463231268 583560654719 1167121309438 2334242618876