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11804520775680 = 215325174431063
BaseRepresentation
bin1010101111000111010001…
…0001001000000000000000
31112210111112100102121200100
42223301310101020000000
53021401124304310210
641034531051522400
72325564013015353
oct253616421100000
945714470377610
1011804520775680
1138412a6264356
1213a7966159400
13678213b6c709
142cb4b009429a
151570e17e05c0
hexabc74448000

11804520775680 has 768 divisors, whose sum is σ = 43467534714240. Its totient is φ = 2953234612224.

The previous prime is 11804520775673. The next prime is 11804520775699. The reversal of 11804520775680 is 8657702540811.

11804520775680 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 4 + 5 + 2 + 0 + 77 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11104910829 + ... + 11104911891.

Almost surely, 211804520775680 is an apocalyptic number.

11804520775680 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 11804520775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21733767357120).

11804520775680 is an abundant number, since it is smaller than the sum of its proper divisors (31663013938560).

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

11804520775680 is a wasteful number, since it uses less digits than its factorization.

11804520775680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 11804520775680 in words is "eleven trillion, eight hundred four billion, five hundred twenty million, seven hundred seventy-five thousand, six hundred eighty".