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2743685331904 = 26116170191141
BaseRepresentation
bin100111111011010000011…
…000111011101111000000
3100201021221011000001011201
4213323100120323233000
5324423031421110104
65500233122350544
7402140036345206
oct47732030735700
910637834001151
102743685331904
11968654929970
123838b27bb454
1316b96143cc1a
1496b1b9a5076
154b5823870a4
hex27ed063bbc0

2743685331904 has 112 divisors (see below), whose sum is σ = 6045501357792. Its totient is φ = 1224921600000.

The previous prime is 2743685331901. The next prime is 2743685331929. The reversal of 2743685331904 is 4091335863472.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2743685331901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30058174 + ... + 30149314.

It is a 1-persistent number, because it is pandigital, but 2⋅2743685331904 = 5487370663808 is not.

Almost surely, 22743685331904 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 2743685331904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022750678896).

2743685331904 is an abundant number, since it is smaller than the sum of its proper divisors (3301816025888).

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

2743685331904 is a wasteful number, since it uses less digits than its factorization.

2743685331904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91926 (or 91916 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 55.

The spelling of 2743685331904 in words is "two trillion, seven hundred forty-three billion, six hundred eighty-five million, three hundred thirty-one thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 176 244 352 488 671 701 704 976 1342 1402 1952 2684 2804 3904 5368 5608 7711 10736 11216 15422 21472 22432 30844 42761 42944 44864 61688 85522 91141 123376 171044 182282 246752 342088 364564 470371 493504 684176 729128 940742 1002551 1368352 1458256 1881484 2005102 2736704 2916512 3762968 4010204 5559601 5833024 7525936 8020408 11119202 15051872 16040816 22238404 30103744 32081632 44476808 61155611 63889841 64163264 88953616 122311222 127779682 177907232 244622444 255559364 355814464 489244888 511118728 702788251 978489776 1022237456 1405576502 1956979552 2044474912 2811153004 3897280301 3913959104 4088949824 5622306008 7794560602 11244612016 15589121204 22489224032 31178242408 42870083311 44978448064 62356484816 85740166622 124712969632 171480333244 249425939264 342960666488 685921332976 1371842665952 2743685331904