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163161679104 = 283323244623
BaseRepresentation
bin1001011111110100110…
…0011010010100000000
3120121011000111002101000
42113331030122110000
510133123342212404
6202542213012000
714534204250354
oct2277514322400
9517130432330
10163161679104
11632185724a6
1227756624000
13125032abc68
147c7b7a5464
15439e31b339
hex25fd31a500

163161679104 has 216 divisors, whose sum is σ = 504399351680. Its totient is φ = 52021398528.

The previous prime is 163161679099. The next prime is 163161679123. The reversal of 163161679104 is 401976161361.

163161679104 is a `hidden beast` number, since 1 + 631 + 6 + 1 + 6 + 7 + 9 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 163161679104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3634137 + ... + 3678759.

Almost surely, 2163161679104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163161679104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252199675840).

163161679104 is an abundant number, since it is smaller than the sum of its proper divisors (341237672576).

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

163161679104 is an equidigital number, since it uses as much as digits as its factorization.

163161679104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44694 (or 44651 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 163161679104 in words is "one hundred sixty-three billion, one hundred sixty-one million, six hundred seventy-nine thousand, one hundred four".