Search a number
-
+
1825801484408 = 231167877353099
BaseRepresentation
bin11010100100011010001…
…111111011100001111000
320110112201020121101012022
4122210122033323201320
5214403220140000113
63514432302134012
7245624030360456
oct32443217734170
96415636541168
101825801484408
11644355380820
12255a29281308
13103231831145
14645253899d6
153275ec97908
hex1a91a3fb878

1825801484408 has 64 divisors (see below), whose sum is σ = 3794666832000. Its totient is φ = 816588558720.

The previous prime is 1825801484401. The next prime is 1825801484471. The reversal of 1825801484408 is 8044841085281.

It is a super-2 number, since 2×18258014844082 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1825801484408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1825801484401) 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, 4994243 + ... + 5347341.

It is an arithmetic number, because the mean of its divisors is an integer number (59291669250).

Almost surely, 21825801484408 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 1825801484408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897333416000).

1825801484408 is an abundant number, since it is smaller than the sum of its proper divisors (1968865347592).

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

1825801484408 is a wasteful number, since it uses less digits than its factorization.

1825801484408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354060 (or 354056 counting only the distinct ones).

The product of its (nonzero) digits is 2621440, while the sum is 53.

The spelling of 1825801484408 in words is "one trillion, eight hundred twenty-five billion, eight hundred one million, four hundred eighty-four thousand, four hundred eight".

Divisors: 1 2 4 8 11 22 44 67 88 134 268 536 737 877 1474 1754 2948 3508 5896 7016 9647 19294 38588 58759 77176 117518 235036 353099 470072 646349 706198 1292698 1412396 2585396 2824792 3884089 5170792 7768178 15536356 23657633 31072712 47315266 94630532 189261064 260233963 309667823 520467926 619335646 1040935852 1238671292 2081871704 2477342584 3406346053 6812692106 13625384212 20747744141 27250768424 41495488282 82990976564 165981953128 228225185551 456450371102 912900742204 1825801484408