Search a number
-
+
11933158170852 = 22322911430228133
BaseRepresentation
bin1010110110100110011110…
…1001110110000011100100
31120020210120022101100212200
42231221213221312003210
53031003101442431402
641214003413414500
72341066532566032
oct255514751660344
946223508340780
1011933158170852
113890907766296
12140888663a430
136873a46597a9
142d37d45c3552
1515a61ebe921c
hexada67a760e4

11933158170852 has 36 divisors (see below), whose sum is σ = 31204522805820. Its totient is φ = 3840556652352.

The previous prime is 11933158170839. The next prime is 11933158170853. The reversal of 11933158170852 is 25807185133911.

11933158170852 is a `hidden beast` number, since 1 + 1 + 9 + 3 + 3 + 1 + 581 + 7 + 0 + 8 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4306811981796 + 7626346189056 = 2075286^2 + 2761584^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (11933158170853) 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 11 ways as a sum of consecutive naturals, for example, 5715113023 + ... + 5715115110.

Almost surely, 211933158170852 is an apocalyptic number.

11933158170852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11933158170852 is an abundant number, since it is smaller than the sum of its proper divisors (19271364634968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11933158170852 is a wasteful number, since it uses less digits than its factorization.

11933158170852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11430228172 (or 11430228167 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 11933158170852 in words is "eleven trillion, nine hundred thirty-three billion, one hundred fifty-eight million, one hundred seventy thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 11430228133 22860456266 34290684399 45720912532 68581368798 102872053197 137162737596 205744106394 331476615857 411488212788 662953231714 994429847571 1325906463428 1988859695142 2983289542713 3977719390284 5966579085426 11933158170852