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11451833676468 = 2232318106491013
BaseRepresentation
bin1010011010100101011001…
…1110100111001010110100
31111112210011222102122011100
42212221112132213022310
53000111323410121333
640204522203210100
72261240054104533
oct246512636471264
944483158378140
1011451833676468
11371577161a659
12134b537b16930
13650b98683673
142b83b37ca31a
1514cd4d904213
hexa6a567a72b4

11451833676468 has 18 divisors (see below), whose sum is σ = 28947690682274. Its totient is φ = 3817277892144.

The previous prime is 11451833676467. The next prime is 11451833676523. The reversal of 11451833676468 is 86467633815411.

11451833676468 is a `hidden beast` number, since 1 + 1 + 4 + 518 + 3 + 3 + 6 + 76 + 46 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11238733266084 + 213100410384 = 3352422^2 + 461628^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×114518336764682 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11451833676467) 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 5 ways as a sum of consecutive naturals, for example, 159053245471 + ... + 159053245542.

Almost surely, 211451833676468 is an apocalyptic number.

11451833676468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11451833676468 is an abundant number, since it is smaller than the sum of its proper divisors (17495857005806).

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

11451833676468 is a wasteful number, since it uses less digits than its factorization.

11451833676468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318106491023 (or 318106491018 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 11451833676468 in words is "eleven trillion, four hundred fifty-one billion, eight hundred thirty-three million, six hundred seventy-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 318106491013 636212982026 954319473039 1272425964052 1908638946078 2862958419117 3817277892156 5725916838234 11451833676468