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2213887194432 = 26341725121269
BaseRepresentation
bin100000001101110101111…
…101011011010101000000
321211122102121100002220000
4200031311331123111000
5242233020110210212
64413013513520000
7315643121442264
oct40156575332500
97748377302800
102213887194432
117839a4672781
122b9096413000
131309cb9b7054
147921d0820a4
153c8c57011dc
hex20375f5b540

2213887194432 has 140 divisors (see below), whose sum is σ = 6948694009620. Its totient is φ = 694552817664.

The previous prime is 2213887194427. The next prime is 2213887194433. The reversal of 2213887194432 is 2344917883122.

2213887194432 is a `hidden beast` number, since 2 + 2 + 13 + 8 + 8 + 7 + 194 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1330091663616 + 883795530816 = 1153296^2 + 940104^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213887194433) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12472507 + ... + 12648762.

Almost surely, 22213887194432 is an apocalyptic number.

It is an amenable number.

2213887194432 is an abundant number, since it is smaller than the sum of its proper divisors (4734806815188).

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

2213887194432 is a wasteful number, since it uses less digits than its factorization.

2213887194432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25121310 (or 25121291 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 2213887194432 in words is "two trillion, two hundred thirteen billion, eight hundred eighty-seven million, one hundred ninety-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 648 816 864 918 1088 1224 1296 1377 1632 1728 1836 2448 2592 2754 3264 3672 4896 5184 5508 7344 9792 11016 14688 22032 29376 44064 88128 25121269 50242538 75363807 100485076 150727614 200970152 226091421 301455228 401940304 427061573 452182842 602910456 678274263 803880608 854123146 904365684 1205820912 1281184719 1356548526 1607761216 1708246292 1808731368 2034822789 2411641824 2562369438 2713097052 3416492584 3617462736 3843554157 4069645578 4823283648 5124738876 5426194104 6832985168 7234925472 7687108314 8139291156 10249477752 10852388208 11530662471 13665970336 14469850944 15374216628 16278582312 20498955504 21704776416 23061324942 27331940672 30748433256 32557164624 34591987413 40997911008 43409552832 46122649884 61496866512 65114329248 69183974826 81995822016 92245299768 122993733024 130228658496 138367949652 184490599536 245987466048 276735899304 368981199072 553471798608 737962398144 1106943597216 2213887194432