Search a number
-
+
11460330206127 = 3311136303283097
BaseRepresentation
bin1010011011000101000011…
…1010010011001110101111
31111120121010010011001201000
42212301100322103032233
53000231224013044002
640212445241251343
72261660444316165
oct246612072231657
944517103131630
1011460330206127
1137193316a40a0
121351109493b53
13651920a350ca
142b897bdc5235
1514d1997ce61c
hexa6c50e933af

11460330206127 has 32 divisors (see below), whose sum is σ = 18521947100160. Its totient is φ = 6945579178560.

The previous prime is 11460330206071. The next prime is 11460330206131. The reversal of 11460330206127 is 72160203306411.

11460330206127 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 0 + 3 + 30 + 2 + 0 + 612 + 7 = 666.

It is not a de Polignac number, because 11460330206127 - 224 = 11460313428911 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11460330206091 and 11460330206100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11460330201127) 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 31 ways as a sum of consecutive naturals, for example, 40340443 + ... + 40623539.

It is an arithmetic number, because the mean of its divisors is an integer number (578810846880).

Almost surely, 211460330206127 is an apocalyptic number.

11460330206127 is a deficient number, since it is larger than the sum of its proper divisors (7061616894033).

11460330206127 is a wasteful number, since it uses less digits than its factorization.

11460330206127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419420 (or 419414 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 11460330206127 in words is "eleven trillion, four hundred sixty billion, three hundred thirty million, two hundred six thousand, one hundred twenty-seven".

Divisors: 1 3 9 11 27 33 99 297 136303 283097 408909 849291 1226727 1499333 2547873 3114067 3680181 4497999 7643619 9342201 13493997 28026603 40481991 84079809 38586970391 115760911173 347282733519 424456674301 1041848200557 1273370022903 3820110068709 11460330206127