Search a number
-
+
12625190841753 = 3271728597412219
BaseRepresentation
bin1011011110111000100000…
…0000111110110110011001
31122200221211020221111202200
42313232020000332312121
53123322342323414003
642503533235320413
72442065666333610
oct267561000766631
948627736844680
1012625190841753
11402834a101686
1214baa1aa50109
137077202821c9
143190c36c6877
1516d6245ab6a3
hexb7b8803ed99

12625190841753 has 48 divisors (see below), whose sum is σ = 22068385672320. Its totient is φ = 6789764694528.

The previous prime is 12625190841707. The next prime is 12625190841763. The reversal of 12625190841753 is 35714809152621.

12625190841753 is a `hidden beast` number, since 1 + 2 + 62 + 519 + 0 + 8 + 4 + 17 + 53 = 666.

It is not a de Polignac number, because 12625190841753 - 225 = 12625157287321 is a prime.

It is a super-2 number, since 2×126251908417532 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12625190841753.

It is not an unprimeable number, because it can be changed into a prime (12625190841763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30421278 + ... + 30833496.

It is an arithmetic number, because the mean of its divisors is an integer number (459758034840).

It is a 1-persistent number, because it is pandigital, but 2⋅12625190841753 = 25250381683506 is not.

Almost surely, 212625190841753 is an apocalyptic number.

It is an amenable number.

12625190841753 is a deficient number, since it is larger than the sum of its proper divisors (9443194830567).

12625190841753 is a wasteful number, since it uses less digits than its factorization.

12625190841753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440846 (or 440843 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 12625190841753 in words is "twelve trillion, six hundred twenty-five billion, one hundred ninety million, eight hundred forty-one thousand, seven hundred fifty-three".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 28597 85791 200179 257373 412219 486149 600537 1236657 1458447 1801611 2885533 3403043 3709971 4375341 7007723 8656599 10209129 21023169 25969797 30627387 49054061 63069507 147162183 441486549 11788226743 35364680229 82517587201 106094040687 200399854631 247552761603 601199563893 742658284809 1402798982417 1803598691679 4208396947251 12625190841753