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2580042327288 = 2333171139351383
BaseRepresentation
bin100101100010110110100…
…000011010010011111000
3100010122112120211002022220
4211202312200122103320
5314232411313433123
65253131033044040
7354254565636246
oct45426640322370
910118476732286
102580042327288
1190520a6a5498
12358042b56620
131593b2516b8a
148cc36309796
15471a5b90ce3
hex258b681a4f8

2580042327288 has 128 divisors (see below), whose sum is σ = 6800545382400. Its totient is φ = 814644028800.

The previous prime is 2580042327253. The next prime is 2580042327299. The reversal of 2580042327288 is 8827232400852.

It is a self number, because there is not a number n which added to its sum of digits gives 2580042327288.

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 31 ways as a sum of consecutive naturals, for example, 7166845 + ... + 7518227.

It is an arithmetic number, because the mean of its divisors is an integer number (53129260800).

Almost surely, 22580042327288 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 2580042327288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400272691200).

2580042327288 is an abundant number, since it is smaller than the sum of its proper divisors (4220503055112).

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

2580042327288 is a wasteful number, since it uses less digits than its factorization.

2580042327288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351633 (or 351629 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 51.

The spelling of 2580042327288 in words is "two trillion, five hundred eighty billion, forty-two million, three hundred twenty-seven thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 71 93 124 139 142 186 213 248 278 284 372 417 426 556 568 744 834 852 1112 1668 1704 2201 3336 4309 4402 6603 8618 8804 9869 12927 13206 17236 17608 19738 25854 26412 29607 34472 39476 51708 52824 59214 78952 103416 118428 236856 305939 351383 611878 702766 917817 1054149 1223756 1405532 1835634 2108298 2447512 2811064 3671268 4216596 7342536 8433192 10892873 21785746 24948193 32678619 43571492 48842237 49896386 65357238 74844579 87142984 97684474 99792772 130714476 146526711 149689158 195368948 199585544 261428952 293053422 299378316 390737896 586106844 598756632 773393983 1172213688 1514109347 1546787966 2320181949 3028218694 3093575932 3467798827 4542328041 4640363898 6056437388 6187151864 6935597654 9084656082 9280727796 10403396481 12112874776 13871195308 18169312164 18561455592 20806792962 27742390616 36338624328 41613585924 83227171848 107501763637 215003527274 322505290911 430007054548 645010581822 860014109096 1290021163644 2580042327288