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11671894080 = 26325721173103
BaseRepresentation
bin10101101111011001…
…01111100001000000
31010010102201122122100
422313230233201000
5142401001102310
65210105110400
7562145314500
oct126754574100
933112648570
1011671894080
114a4a530860
122318a88400
1311401a5c02
147ca20da00
15484a5dec0
hex2b7b2f840

11671894080 has 1008 divisors, whose sum is σ = 52145817984. Its totient is φ = 2368880640.

The previous prime is 11671894061. The next prime is 11671894081. The reversal of 11671894080 is 8049817611.

It is a happy number.

11671894080 is a `hidden beast` number, since 1 + 1 + 67 + 189 + 408 + 0 = 666.

11671894080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×116718940802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11671894081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 113319309 + ... + 113319411.

Almost surely, 211671894080 is an apocalyptic number.

11671894080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11671894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26072908992).

11671894080 is an abundant number, since it is smaller than the sum of its proper divisors (40473923904).

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

11671894080 is a wasteful number, since it uses less digits than its factorization.

11671894080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 11671894080 in words is "eleven billion, six hundred seventy-one million, eight hundred ninety-four thousand, eighty".