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11714673180672 = 216327112131179
BaseRepresentation
bin1010101001111000100011…
…1011110000000000000000
31112110220121201022212220100
42222132020323300000000
53013413122313240142
640525351354042400
72316233344036260
oct252361073600000
945426551285810
1011714673180672
11380718a678400
121392470419400
1366c8c57abc07
142c6dc95097a0
15154ad3a1ab4c
hexaa788ef0000

11714673180672 has 1224 divisors, whose sum is σ = 43076263950720. Its totient is φ = 3002676019200.

The previous prime is 11714673180653. The next prime is 11714673180733. The reversal of 11714673180672 is 27608137641711.

11714673180672 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 467 + 31 + 80 + 6 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65445101479 + ... + 65445101657.

Almost surely, 211714673180672 is an apocalyptic number.

11714673180672 is a gapful number since it is divisible by the number (12) 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 11714673180672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21538131975360).

11714673180672 is an abundant number, since it is smaller than the sum of its proper divisors (31361590770048).

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

11714673180672 is a wasteful number, since it uses less digits than its factorization.

11714673180672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 11714673180672 in words is "eleven trillion, seven hundred fourteen billion, six hundred seventy-three million, one hundred eighty thousand, six hundred seventy-two".