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252411543403349 = 1189222312990673
BaseRepresentation
bin111001011001000100100100…
…011000011011101101010101
31020002201022022110011012011112
4321121010210120123231111
5231041002320102401344
62252500132351144405
7104111063230536131
oct7131044430335525
91202638273135145
10252411543403349
1173476152994390
122438706b215105
13aaac3ca24c925
144648ad8da43c1
151e2ac0bc02c9e
hexe5912461bb55

252411543403349 has 24 divisors (see below), whose sum is σ = 279735561944832. Its totient is φ = 225869333690880.

The previous prime is 252411543403309. The next prime is 252411543403391. The reversal of 252411543403349 is 943304345114252.

It is a de Polignac number, because none of the positive numbers 2k-252411543403349 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 252411543403297 and 252411543403306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252411543403309) 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 23 ways as a sum of consecutive naturals, for example, 12934877 + ... + 25925549.

It is an arithmetic number, because the mean of its divisors is an integer number (11655648414368).

Almost surely, 2252411543403349 is an apocalyptic number.

It is an amenable number.

252411543403349 is a deficient number, since it is larger than the sum of its proper divisors (27324018541483).

252411543403349 is a wasteful number, since it uses less digits than its factorization.

252411543403349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12991085 (or 12990996 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 50.

The spelling of 252411543403349 in words is "two hundred fifty-two trillion, four hundred eleven billion, five hundred forty-three million, four hundred three thousand, three hundred forty-nine".

Divisors: 1 11 89 223 979 2453 7921 19847 87131 218317 1766383 12990673 19430213 142897403 1156169897 2896920079 12717868867 31866120869 102899120833 257825887031 1131890329163 2836084757341 22946503945759 252411543403349