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11710760880 = 2435731331353
BaseRepresentation
bin10101110100000010…
…00000011110110000
31010020010212021212110
422322001000132300
5142440423322010
65214014125320
7563126553000
oct127201003660
933203767773
1011710760880
114a6a467a85
122329ab0840
131148263a10
147d144a000
1548818a120
hex2ba0407b0

11710760880 has 640 divisors, whose sum is σ = 47196979200. Its totient is φ = 2384363520.

The previous prime is 11710760869. The next prime is 11710760921. The reversal of 11710760880 is 8806701711.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 127 ways as a sum of consecutive naturals, for example, 33174784 + ... + 33175136.

It is an arithmetic number, because the mean of its divisors is an integer number (73745280).

Almost surely, 211710760880 is an apocalyptic number.

11710760880 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 11710760880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23598489600).

11710760880 is an abundant number, since it is smaller than the sum of its proper divisors (35486218320).

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

11710760880 is a wasteful number, since it uses less digits than its factorization.

11710760880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 39.

The spelling of 11710760880 in words is "eleven billion, seven hundred ten million, seven hundred sixty thousand, eight hundred eighty".