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163828258272 = 25327615212557
BaseRepresentation
bin1001100010010011101…
…1001101010111100000
3120122212110202211002100
42120210323031113200
510141010013231042
6203132304050400
714556550135020
oct2304473152740
9518773684070
10163828258272
116352a865278
1227901903a00
13125ab4192c3
147d0211da80
1543dcadb24c
hex2624ecd5e0

163828258272 has 288 divisors, whose sum is σ = 542421157824. Its totient is φ = 45934387200.

The previous prime is 163828258229. The next prime is 163828258277. The reversal of 163828258272 is 272852828361.

163828258272 is a `hidden beast` number, since 1 + 6 + 38 + 28 + 2 + 582 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163828258277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64069218 + ... + 64071774.

It is an arithmetic number, because the mean of its divisors is an integer number (1883406798).

Almost surely, 2163828258272 is an apocalyptic number.

163828258272 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 163828258272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271210578912).

163828258272 is an abundant number, since it is smaller than the sum of its proper divisors (378592899552).

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

163828258272 is a wasteful number, since it uses less digits than its factorization.

163828258272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162 (or 3151 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 163828258272 in words is "one hundred sixty-three billion, eight hundred twenty-eight million, two hundred fifty-eight thousand, two hundred seventy-two".