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11994660384960 = 26351123346310529
BaseRepresentation
bin1010111010001011100101…
…1110001011000011000000
31120110200022111122112222110
42232202321132023003000
53033010031024304320
641302134303335320
72345404603022511
oct256427136130300
946420274575873
1011994660384960
1139049a80a6010
12141878b5b1540
136901263a2966
142d678a794a08
1515c01e2825e0
hexae8b978b0c0

11994660384960 has 448 divisors, whose sum is σ = 41817533921280. Its totient is φ = 2888788869120.

The previous prime is 11994660384923. The next prime is 11994660384961. The reversal of 11994660384960 is 6948306649911.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 11994660384891 and 11994660384900.

It is not an unprimeable number, because it can be changed into a prime (11994660384961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1139196976 + ... + 1139207504.

Almost surely, 211994660384960 is an apocalyptic number.

11994660384960 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 11994660384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20908766960640).

11994660384960 is an abundant number, since it is smaller than the sum of its proper divisors (29822873536320).

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

11994660384960 is a wasteful number, since it uses less digits than its factorization.

11994660384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11256 (or 11246 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 66.

The spelling of 11994660384960 in words is "eleven trillion, nine hundred ninety-four billion, six hundred sixty million, three hundred eighty-four thousand, nine hundred sixty".