Search a number
-
+
10805605815853 is a prime number
BaseRepresentation
bin1001110100111110000001…
…0010111101011000101101
31102021000011020200221111101
42131033200102331120231
52404014340042101403
634552005441323101
72163451661654632
oct235174022753055
942230136627441
1010805605815853
1134966a4866182
121266247636491
13604c6c6175a4
14294dcbbb4189
1513b12a45771d
hex9d3e04bd62d

10805605815853 has 2 divisors, whose sum is σ = 10805605815854. Its totient is φ = 10805605815852.

The previous prime is 10805605815817. The next prime is 10805605815863. The reversal of 10805605815853 is 35851850650801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6931625308804 + 3873980507049 = 2632798^2 + 1968243^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10805605815853 is a prime.

It is a super-2 number, since 2×108056058158532 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10805605815794 and 10805605815803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10805605815863) 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 as a sum of consecutive naturals, namely, 5402802907926 + 5402802907927.

It is an arithmetic number, because the mean of its divisors is an integer number (5402802907927).

Almost surely, 210805605815853 is an apocalyptic number.

It is an amenable number.

10805605815853 is a deficient number, since it is larger than the sum of its proper divisors (1).

10805605815853 is an equidigital number, since it uses as much as digits as its factorization.

10805605815853 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760000, while the sum is 55.

The spelling of 10805605815853 in words is "ten trillion, eight hundred five billion, six hundred five million, eight hundred fifteen thousand, eight hundred fifty-three".