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163310461056 = 27321967193577
BaseRepresentation
bin1001100000011000001…
…1111110000010000000
3120121112101102222211200
42120012003332002000
510133424434223211
6203005045541200
714540662005111
oct2300603760200
9517471388750
10163310461056
1163294552596
1227798414800
1312528072612
147c93454208
1543ac409b56
hex26060fe080

163310461056 has 384 divisors, whose sum is σ = 505535908800. Its totient is φ = 50451185664.

The previous prime is 163310461043. The next prime is 163310461063. The reversal of 163310461056 is 650164013361.

163310461056 is a `hidden beast` number, since 1 + 6 + 3 + 31 + 0 + 4 + 610 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 163310461056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283033440 + ... + 283034016.

Almost surely, 2163310461056 is an apocalyptic number.

163310461056 is a gapful number since it is divisible by the number (16) 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 163310461056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252767954400).

163310461056 is an abundant number, since it is smaller than the sum of its proper divisors (342225447744).

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

163310461056 is a wasteful number, since it uses less digits than its factorization.

163310461056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 163310461056 in words is "one hundred sixty-three billion, three hundred ten million, four hundred sixty-one thousand, fifty-six".