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3225039022784 = 261931372312267
BaseRepresentation
bin101110111011100011010…
…011100010101011000000
3102102022101111220002221202
4232323203103202223000
5410314334442212114
610505321254440332
7452000321250365
oct56734323425300
912368344802852
103225039022784
1110338054a7337
1244104b0630a8
131a5173499397
14b21425dc46c
1558d55ee7cde
hex2eee34e2ac0

3225039022784 has 112 divisors (see below), whose sum is σ = 7141763435520. Its totient is φ = 1438414433280.

The previous prime is 3225039022771. The next prime is 3225039022811. The reversal of 3225039022784 is 4872209305223.

3225039022784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×32250390227842 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238619 + ... + 2550885.

It is an arithmetic number, because the mean of its divisors is an integer number (63765744960).

Almost surely, 23225039022784 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 3225039022784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3570881717760).

3225039022784 is an abundant number, since it is smaller than the sum of its proper divisors (3916724412736).

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

3225039022784 is a wasteful number, since it uses less digits than its factorization.

3225039022784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312366 (or 2312356 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The spelling of 3225039022784 in words is "three trillion, two hundred twenty-five billion, thirty-nine million, twenty-two thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 19 31 32 37 38 62 64 74 76 124 148 152 248 296 304 496 589 592 608 703 992 1147 1178 1184 1216 1406 1984 2294 2356 2368 2812 4588 4712 5624 9176 9424 11248 18352 18848 21793 22496 36704 37696 43586 44992 73408 87172 174344 348688 697376 1394752 2312267 4624534 9249068 18498136 36996272 43933073 71680277 73992544 85553879 87866146 143360554 147985088 171107758 175732292 286721108 342215516 351464584 573442216 684431032 702929168 1146884432 1361925263 1368862064 1405858336 1625523701 2293768864 2652170249 2723850526 2737724128 2811716672 3251047402 4587537728 5304340498 5447701052 5475448256 6502094804 10608680996 10895402104 13004189608 21217361992 21790804208 26008379216 42434723984 43581608416 50391234731 52016758432 84869447968 87163216832 100782469462 104033516864 169738895936 201564938924 403129877848 806259755696 1612519511392 3225039022784