Search a number
-
+
11826460441081 = 11131712043403957
BaseRepresentation
bin1010110000011000111111…
…1110010011100111111001
31112212121011100210002122101
42230012033332103213321
53022231042333103311
641053000111023401
72330301500054416
oct254061776234771
945777140702571
1011826460441081
11384a634670730
1213b006980ab61
1367a2cc358350
142cc591c0b10d
151579779a1ec1
hexac18ff939f9

11826460441081 has 32 divisors (see below), whose sum is σ = 14712576939648. Its totient is φ = 9339721251840.

The previous prime is 11826460441063. The next prime is 11826460441097. The reversal of 11826460441081 is 18014406462811.

It is a cyclic number.

It is not a de Polignac number, because 11826460441081 - 29 = 11826460440569 is a prime.

It is a super-2 number, since 2×118264604410812 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11826460441031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29074555 + ... + 29478511.

It is an arithmetic number, because the mean of its divisors is an integer number (459768029364).

Almost surely, 211826460441081 is an apocalyptic number.

11826460441081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11826460441081 is a deficient number, since it is larger than the sum of its proper divisors (2886116498567).

11826460441081 is a wasteful number, since it uses less digits than its factorization.

11826460441081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416041.

The product of its (nonzero) digits is 294912, while the sum is 46.

The spelling of 11826460441081 in words is "eleven trillion, eight hundred twenty-six billion, four hundred sixty million, four hundred forty-one thousand, eighty-one".

Divisors: 1 11 13 17 143 187 221 2431 12043 132473 156559 204731 403957 1722149 2252041 2661503 4443527 5251441 6867269 29276533 57765851 75539959 89274497 982019467 4864854151 53513395661 63243103963 82702520567 695674143593 909727726237 1075132767371 11826460441081