Search a number
-
+
11166741054 = 2337131922397
BaseRepresentation
bin10100110011001011…
…01111001000111110
31001211020012012222000
422121211233020332
5140332141203204
65044022003130
7543502506240
oct123145571076
931736165860
1011166741054
114810374917
1221b78764a6
13108c6384b1
1477d0b6090
15455529039
hex29996f23e

11166741054 has 64 divisors (see below), whose sum is σ = 28382745600. Its totient is φ = 3187936224.

The previous prime is 11166741049. The next prime is 11166741077. The reversal of 11166741054 is 45014766111.

11166741054 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111667410542 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487384 + ... + 509780.

It is an arithmetic number, because the mean of its divisors is an integer number (443480400).

Almost surely, 211166741054 is an apocalyptic number.

11166741054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11166741054 is an abundant number, since it is smaller than the sum of its proper divisors (17216004546).

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

11166741054 is a wasteful number, since it uses less digits than its factorization.

11166741054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23734 (or 23728 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11166741054 in words is "eleven billion, one hundred sixty-six million, seven hundred forty-one thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1319 2638 3957 7914 9233 11871 18466 22397 23742 27699 35613 44794 55398 67191 71226 83097 134382 156779 166194 201573 249291 313558 403146 470337 498582 604719 940674 1209438 1411011 2822022 4233033 8466066 29541643 59083286 88624929 177249858 206791501 265874787 413583002 531749574 620374503 797624361 1240749006 1595248722 1861123509 3722247018 5583370527 11166741054