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163164927744 = 2835713193741
BaseRepresentation
bin1001011111110101100…
…0110011011100000000
3120121011020121010200000
42113331120303130000
510133130210141434
6202542410400000
714534244000540
oct2277530633400
9517136533600
10163164927744
116321a391225
1227757730000
1312503b78830
147c7bdad320
15439e75db99
hex25fd633700

163164927744 has 1728 divisors, whose sum is σ = 664971740160. Its totient is φ = 38698352640.

The previous prime is 163164927733. The next prime is 163164927841. The reversal of 163164927744 is 447729461361.

163164927744 is a `hidden beast` number, since 16 + 31 + 6 + 492 + 77 + 44 = 666.

163164927744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3979632364 + ... + 3979632404.

Almost surely, 2163164927744 is an apocalyptic number.

163164927744 is a gapful number since it is divisible by the number (14) 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 163164927744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332485870080).

163164927744 is an abundant number, since it is smaller than the sum of its proper divisors (501806812416).

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

163164927744 is a wasteful number, since it uses less digits than its factorization.

163164927744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 122 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 163164927744 in words is "one hundred sixty-three billion, one hundred sixty-four million, nine hundred twenty-seven thousand, seven hundred forty-four".