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11704492800 = 28325272111329
BaseRepresentation
bin10101110011010010…
…00110001100000000
31010012201001211200100
422321221012030000
5142432322232200
65213231522400
7563022355500
oct127151061400
933181054610
1011704492800
114a66976750
122327989400
131146b7a9b0
147d0697a00
1548784cd00
hex2b9a46300

11704492800 has 1944 divisors, whose sum is σ = 59160432240. Its totient is φ = 2167603200.

The previous prime is 11704492783. The next prime is 11704492819. The reversal of 11704492800 is 829440711.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 403603186 + ... + 403603214.

Almost surely, 211704492800 is an apocalyptic number.

11704492800 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 11704492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29580216120).

11704492800 is an abundant number, since it is smaller than the sum of its proper divisors (47455939440).

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

11704492800 is a wasteful number, since it uses less digits than its factorization.

11704492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11704492800 in words is "eleven billion, seven hundred four million, four hundred ninety-two thousand, eight hundred".