Search a number
-
+
5641738371408 = 2431731541412253
BaseRepresentation
bin101001000011001000111…
…0011111100000101010000
3201222100022110002010200010
41102012101303330011100
51214413240010341113
615555440120554520
71121413351626156
oct122062163740520
921870273063603
105641738371408
11188571425a287
127714a6922a40
1331c023c96a59
141570c102b3d6
159bb4b9a91c3
hex52191cfc150

5641738371408 has 160 divisors (see below), whose sum is σ = 15959097695232. Its totient is φ = 1709691494400.

The previous prime is 5641738371361. The next prime is 5641738371419. The reversal of 5641738371408 is 8041738371465.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13479010 + ... + 13891262.

Almost surely, 25641738371408 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 5641738371408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7979548847616).

5641738371408 is an abundant number, since it is smaller than the sum of its proper divisors (10317359323824).

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

5641738371408 is a wasteful number, since it uses less digits than its factorization.

5641738371408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412853 (or 412847 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

Adding to 5641738371408 its sum of digits (57), we get a palindrome (5641738371465).

The spelling of 5641738371408 in words is "five trillion, six hundred forty-one billion, seven hundred thirty-eight million, three hundred seventy-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 186 204 248 272 372 408 496 527 541 744 816 1054 1082 1488 1581 1623 2108 2164 3162 3246 4216 4328 6324 6492 8432 8656 9197 12648 12984 16771 18394 25296 25968 27591 33542 36788 50313 55182 67084 73576 100626 110364 134168 147152 201252 220728 268336 285107 402504 412253 441456 570214 805008 824506 855321 1140428 1236759 1649012 1710642 2280856 2473518 3298024 3421284 4561712 4947036 6596048 6842568 7008301 9894072 12779843 13685136 14016602 19788144 21024903 25559686 28033204 38339529 42049806 51119372 56066408 76679058 84099612 102238744 112132816 153358116 168199224 204477488 217257331 223028873 306716232 336398448 434514662 446057746 613432464 651771993 669086619 869029324 892115492 1303543986 1338173238 1738058648 1784230984 2607087972 2676346476 3476117296 3568461968 3791490841 5214175944 5352692952 6913895063 7582981682 10428351888 10705385904 11374472523 13827790126 15165963364 20741685189 22748945046 27655580252 30331926728 41483370378 45497890092 55311160504 60663853456 82966740756 90995780184 110622321008 117536216071 165933481512 181991560368 235072432142 331866963024 352608648213 470144864284 705217296426 940289728568 1410434592852 1880579457136 2820869185704 5641738371408