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428019292170 = 2325891371792179
BaseRepresentation
bin1100011101001111111…
…00000001100000001010
31111220210101210220000200
412032213330001200022
524003040414322140
6524343534513030
742631500645321
oct6164774014012
91456711726020
10428019292170
11155581806308
126ab52965776
1331492552272
1416a055350b8
15b2016c1030
hex63a7f0180a

428019292170 has 192 divisors, whose sum is σ = 1140424272000. Its totient is φ = 111355250688.

The previous prime is 428019292159. The next prime is 428019292193. The reversal of 428019292170 is 71292910824.

428019292170 is a `hidden beast` number, since 4 + 280 + 19 + 292 + 1 + 70 = 666.

428019292170 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 196428141 + ... + 196430319.

It is an arithmetic number, because the mean of its divisors is an integer number (5939709750).

Almost surely, 2428019292170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428019292170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570212136000).

428019292170 is an abundant number, since it is smaller than the sum of its proper divisors (712404979830).

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

428019292170 is a wasteful number, since it uses less digits than its factorization.

428019292170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 428019292170 in words is "four hundred twenty-eight billion, nineteen million, two hundred ninety-two thousand, one hundred seventy".