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46994869089 = 3672312372
BaseRepresentation
bin101011110001000111…
…001100101101100001
311111022011010201000000
4223301013030231201
51232221141302324
633331131050213
73252401540100
oct536107145541
9144264121000
1046994869089
1118a26418793
1291365a0969
13457c2acc5c
1423bb590037
151350b3a9c9
hexaf11ccb61

46994869089 has 189 divisors, whose sum is σ = 87043904451. Its totient is φ = 25285569120.

The previous prime is 46994869081. The next prime is 46994869123. The reversal of 46994869089 is 98096849964.

It is a happy number.

The square root of 46994869089 is 216783.

It is a perfect power (a square), and thus also a powerful number.

46994869089 is a `hidden beast` number, since 4 + 69 + 9 + 486 + 9 + 0 + 89 = 666.

46994869089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 42051654225 + 4943214864 = 205065^2 + 70308^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 46994869089 - 23 = 46994869081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (46994869081) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1270131579 + ... + 1270131615.

It is an arithmetic number, because the mean of its divisors is an integer number (460549759).

Almost surely, 246994869089 is an apocalyptic number.

46994869089 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

46994869089 is the 216783-rd square number.

46994869089 is the 108392-nd centered octagonal number.

It is an amenable number.

46994869089 is a deficient number, since it is larger than the sum of its proper divisors (40049035362).

46994869089 is an frugal number, since it uses more digits than its factorization.

46994869089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 46994869089 in words is "forty-six billion, nine hundred ninety-four million, eight hundred sixty-nine thousand, eighty-nine".