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163951056 = 24321398191
BaseRepresentation
bin10011100010110…
…11000111010000
3102102111120120100
421301123013100
5313432413211
624134012400
74030363263
oct1161330720
9372446510
10163951056
1184600945
1246aa7100
1327c74c79
1417abacda
15e5d8156
hex9c5b1d0

163951056 has 60 divisors (see below), whose sum is σ = 462192640. Its totient is φ = 54250560.

The previous prime is 163951013. The next prime is 163951063. The reversal of 163951056 is 650159361.

163951056 is a `hidden beast` number, since 1 + 639 + 5 + 10 + 5 + 6 = 666.

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 163951056.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 15921 + ... + 24111.

Almost surely, 2163951056 is an apocalyptic number.

163951056 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 163951056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231096320).

163951056 is an abundant number, since it is smaller than the sum of its proper divisors (298241584).

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

163951056 is a wasteful number, since it uses less digits than its factorization.

163951056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8344 (or 8335 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 163951056 is about 12804.3373901190. The cubic root of 163951056 is about 547.3159098359.

The spelling of 163951056 in words is "one hundred sixty-three million, nine hundred fifty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 1112 1251 1668 2224 2502 3336 5004 6672 8191 10008 16382 20016 24573 32764 49146 65528 73719 98292 131056 147438 196584 294876 393168 589752 1138549 1179504 2277098 3415647 4554196 6831294 9108392 10246941 13662588 18216784 20493882 27325176 40987764 54650352 81975528 163951056