Search a number
-
+
5435680140738 = 2333726331333049
BaseRepresentation
bin100111100011001011111…
…0010001010110111000010
3201020122102220011110001000
41033012113302022313002
51203024233104000423
615321041133552430
71100500135566111
oct117062762126702
921218386143030
105435680140738
111806293805781
1273957a345716
13305775801303
1414b1344ddc78
15965db748843
hex4f197c8adc2

5435680140738 has 128 divisors (see below), whose sum is σ = 12493090368000. Its totient is φ = 1750556261376.

The previous prime is 5435680140647. The next prime is 5435680140763. The reversal of 5435680140738 is 8370410865345.

5435680140738 is a `hidden beast` number, since 5 + 4 + 3 + 568 + 0 + 1 + 4 + 0 + 73 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164456838 + ... + 164489886.

It is an arithmetic number, because the mean of its divisors is an integer number (97602268500).

Almost surely, 25435680140738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5435680140738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6246545184000).

5435680140738 is an abundant number, since it is smaller than the sum of its proper divisors (7057410227262).

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

5435680140738 is a wasteful number, since it uses less digits than its factorization.

5435680140738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33673 (or 33667 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 5435680140738 in words is "five trillion, four hundred thirty-five billion, six hundred eighty million, one hundred forty thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 263 313 333 526 626 666 789 939 999 1578 1878 1998 2367 2817 4734 5634 7101 8451 9731 11581 14202 16902 19462 23162 29193 33049 34743 58386 66098 69486 82319 87579 99147 104229 164638 175158 198294 208458 246957 262737 297441 312687 493914 525474 594882 625374 740871 892323 1222813 1481742 1784646 2222613 2445626 3045803 3668439 4445226 6091606 7336878 8691887 9137409 10344337 11005317 17383774 18274818 20688674 22010634 26075661 27412227 31033011 33015951 52151322 54824454 62066022 66031902 78226983 82236681 93099033 156453966 164473362 186198066 234680949 279297099 321599819 382740469 469361898 558594198 643199638 765480938 964799457 1148221407 1929598914 2296442814 2720560631 2894398371 3444664221 5441121262 5788796742 6889328442 8161681893 8683195113 10333992663 16323363786 17366390226 20667985326 24485045679 48970091358 73455137037 100660743347 146910274074 201321486694 301982230041 603964460082 905946690123 1811893380246 2717840070369 5435680140738