Search a number
-
+
5345512426325 = 525318131770313
BaseRepresentation
bin100110111001001100101…
…0111101000101101010101
3200221000200221200221222202
41031302121113220231111
51200040102140120300
615211410002534245
71061125531633211
oct115623127505525
920830627627882
105345512426325
111781023453335
12723bb5367385
132ca10601a146
14146a1d225941
15940b07ddad5
hex4dc995e8b55

5345512426325 has 48 divisors (see below), whose sum is σ = 6812331389136. Its totient is φ = 4159320422400.

The previous prime is 5345512426297. The next prime is 5345512426381. The reversal of 5345512426325 is 5236242155435.

It can be written as a sum of positive squares in 24 ways, for example, as 5029712260804 + 315800165521 = 2242702^2 + 561961^2 .

It is a de Polignac number, because none of the positive numbers 2k-5345512426325 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5345512426325.

It is a congruent number.

It is an unprimeable number.

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, 75989369 + ... + 76059681.

It is an arithmetic number, because the mean of its divisors is an integer number (141923570607).

Almost surely, 25345512426325 is an apocalyptic number.

It is an amenable number.

5345512426325 is a deficient number, since it is larger than the sum of its proper divisors (1466818962811).

5345512426325 is a wasteful number, since it uses less digits than its factorization.

5345512426325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70874 (or 70869 counting only the distinct ones).

The product of its digits is 4320000, while the sum is 47.

The spelling of 5345512426325 in words is "five trillion, three hundred forty-five billion, five hundred twelve million, four hundred twenty-six thousand, three hundred twenty-five".

Divisors: 1 5 25 53 181 265 317 905 1325 1585 4525 7925 9593 16801 47965 57377 70313 84005 239825 286885 351565 420025 1434425 1757825 3040981 3726589 12726653 15204905 18632945 22289221 63633265 76024525 93164725 111446105 318166325 557230525 674512609 1181328713 3372563045 4034349001 5906643565 16862815225 20171745005 29533217825 100858725025 213820497053 1069102485265 5345512426325