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993833000160 = 25357111321071487
BaseRepresentation
bin11100111011001010001…
…00000001110011100000
310112000020221010101002120
432131211010001303200
5112240332222001120
62040321030144240
7131542052055450
oct16354504016340
93460227111076
10993833000160
11353533901710
121407407b2080
137294472b200
143615d3a5d60
151acba142140
hexe765101ce0

993833000160 has 1152 divisors, whose sum is σ = 4268750782464. Its totient is φ = 188716769280.

The previous prime is 993833000141. The next prime is 993833000183. The reversal of 993833000160 is 61000338399.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 191 ways as a sum of consecutive naturals, for example, 668346937 + ... + 668348423.

It is an arithmetic number, because the mean of its divisors is an integer number (3705512832).

Almost surely, 2993833000160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993833000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134375391232).

993833000160 is an abundant number, since it is smaller than the sum of its proper divisors (3274917782304).

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

993833000160 is a wasteful number, since it uses less digits than its factorization.

With its successor (993833000161) it forms an eRAP, since the sums of their prime factors are consecutive (1656 and 1657).

993833000160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The spelling of 993833000160 in words is "nine hundred ninety-three billion, eight hundred thirty-three million, one hundred sixty", and thus it is an aban number.