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428034956580 = 223457112378431
BaseRepresentation
bin1100011101010001101…
…11110001110100100100
31111220211111021201120000
412032220313301310210
524003103422102310
6524345254341300
742632051046210
oct6165067616444
91456744251500
10428034956580
1115558a635200
126ab5805a830
133149587814a
1416a07651940
15b202c674c0
hex63a8df1d24

428034956580 has 720 divisors, whose sum is σ = 1732568775168. Its totient is φ = 86528217600.

The previous prime is 428034956551. The next prime is 428034956651. The reversal of 428034956580 is 85659430824.

428034956580 is a `hidden beast` number, since 4 + 2 + 8 + 0 + 3 + 4 + 9 + 56 + 580 = 666.

428034956580 is digitally balanced in base 4, 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 50764965 + ... + 50773395.

Almost surely, 2428034956580 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 428034956580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866284387584).

428034956580 is an abundant number, since it is smaller than the sum of its proper divisors (1304533818588).

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

428034956580 is a wasteful number, since it uses less digits than its factorization.

428034956580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8518 (or 8496 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 428034956580 in words is "four hundred twenty-eight billion, thirty-four million, nine hundred fifty-six thousand, five hundred eighty".