Search a number
-
+
5111105000049 = 341714992476163
BaseRepresentation
bin100101001100000010110…
…0110010001001001110001
3200002121122200202220220000
41022120011212101021301
51132220020340000144
614512001554140213
71035156642452106
oct112300546211161
920077580686800
105111105000049
1116a0675587554
126a6696881669
132b0c8a4a2949
1413954360aaad
158ce4183b769
hex4a605991271

5111105000049 has 40 divisors (see below), whose sum is σ = 8089627788000. Its totient is φ = 3204827144064.

The previous prime is 5111105000047. The next prime is 5111105000069. The reversal of 5111105000049 is 9400005011115.

5111105000049 is a `hidden beast` number, since 5 + 1 + 1 + 110 + 500 + 0 + 0 + 49 = 666.

It is not a de Polignac number, because 5111105000049 - 21 = 5111105000047 is a prime.

It is a super-2 number, since 2×51111050000492 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5111104999986 and 5111105000031.

It is not an unprimeable number, because it can be changed into a prime (5111105000047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 826042 + ... + 3302204.

It is an arithmetic number, because the mean of its divisors is an integer number (202240694700).

Almost surely, 25111105000049 is an apocalyptic number.

It is an amenable number.

5111105000049 is a deficient number, since it is larger than the sum of its proper divisors (2978522787951).

5111105000049 is a wasteful number, since it uses less digits than its factorization.

5111105000049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477691 (or 2477682 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 5111105000049 in words is "five trillion, one hundred eleven billion, one hundred five million, forty-nine", and thus it is an aban number.

Divisors: 1 3 9 17 27 51 81 153 459 1377 1499 4497 13491 25483 40473 76449 121419 229347 688041 2064123 2476163 7428489 22285467 42094771 66856401 126284313 200569203 378852939 1136558817 3409676451 3711768337 11135305011 33405915033 63100061729 100217745099 189300185187 300653235297 567900555561 1703701666683 5111105000049