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11704855767696 = 2432721342412
BaseRepresentation
bin1010101001010011111111…
…0001010010101010010000
31112102222021112010122002100
42222110333301102222100
53013233021034031241
640521045252520400
72315435144306100
oct252247761225220
945388245118070
1011704855767696
113803001a32763
121390590620100
1366b9bc890000
142c6737715200
1515470bbc79b6
hexaa53fc52a90

11704855767696 has 675 divisors, whose sum is σ = 41452822102653. Its totient is φ = 3074185820160.

The previous prime is 11704855767691. The next prime is 11704855767713. The reversal of 11704855767696 is 69676755840711.

The square root of 11704855767696 is 3421236.

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

11704855767696 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 4 + 8 + 557 + 6 + 7 + 69 + 6 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 10881843927696 + 823011840000 = 3298764^2 + 907200^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (11704855767691) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 48567866136 + ... + 48567866376.

Almost surely, 211704855767696 is an apocalyptic number.

11704855767696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11704855767696 is the 3421236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11704855767696

11704855767696 is an abundant number, since it is smaller than the sum of its proper divisors (29747966334957).

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

11704855767696 is an frugal number, since it uses more digits than its factorization.

11704855767696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 533433600, while the sum is 72.

The spelling of 11704855767696 in words is "eleven trillion, seven hundred four billion, eight hundred fifty-five million, seven hundred sixty-seven thousand, six hundred ninety-six".