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166496380992 = 26329713032287
BaseRepresentation
bin1001101100001111110…
…1010010100001000000
3120220202102022111101100
42123003331102201000
510211441033142432
6204253135134400
715012635613324
oct2330375224100
9526672274340
10166496380992
1164679959377
1228327374400
1312915121446
1480b6615984
1544e6e7607c
hex26c3f52840

166496380992 has 168 divisors, whose sum is σ = 482732746496. Its totient is φ = 54860488704.

The previous prime is 166496380979. The next prime is 166496381041. The reversal of 166496380992 is 299083694661.

166496380992 is a `hidden beast` number, since 1 + 66 + 496 + 3 + 80 + 9 + 9 + 2 = 666.

166496380992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72800073 + ... + 72802359.

Almost surely, 2166496380992 is an apocalyptic number.

166496380992 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 166496380992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241366373248).

166496380992 is an abundant number, since it is smaller than the sum of its proper divisors (316236365504).

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

166496380992 is a wasteful number, since it uses less digits than its factorization.

166496380992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3705 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 166496380992 in words is "one hundred sixty-six billion, four hundred ninety-six million, three hundred eighty thousand, nine hundred ninety-two".