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163828071936 = 2933173783227
BaseRepresentation
bin1001100010010011101…
…0011111111000000000
3120122212110102100111000
42120210322133320000
510141004441300221
6203132300052000
714556545430534
oct2304472377000
9518773370430
10163828071936
116352a748281
1227901834000
13125ab382549
147d020b1bc4
1543dcaa0e26
hex2624e9fe00

163828071936 has 640 divisors, whose sum is σ = 536050690560. Its totient is φ = 49187782656.

The previous prime is 163828071907. The next prime is 163828071983. The reversal of 163828071936 is 639170828361.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 721709455 + ... + 721709681.

It is an arithmetic number, because the mean of its divisors is an integer number (837579204).

Almost surely, 2163828071936 is an apocalyptic number.

163828071936 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 163828071936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268025345280).

163828071936 is an abundant number, since it is smaller than the sum of its proper divisors (372222618624).

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

163828071936 is a wasteful number, since it uses less digits than its factorization.

163828071936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 163828071936 in words is "one hundred sixty-three billion, eight hundred twenty-eight million, seventy-one thousand, nine hundred thirty-six".