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2128066399242 = 2397172319751
BaseRepresentation
bin11110111101111010101…
…001000100110000001010
321112102220121101000000000
4132331322221010300022
5234331234444233432
64305341544223430
7306514316636310
oct36757251046012
97472817330000
102128066399242
11750565005063
122a452516ab76
131258a296c434
1474ddb2260b0
153a5511e757c
hex1ef7aa44c0a

2128066399242 has 320 divisors, whose sum is σ = 6046182641664. Its totient is φ = 547344864000.

The previous prime is 2128066399241. The next prime is 2128066399267. The reversal of 2128066399242 is 2429936608212.

2128066399242 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 0 + 6 + 6 + 399 + 242 = 666.

It is a super-2 number, since 2×21280663992422 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2128066399241) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 107734867 + ... + 107754617.

Almost surely, 22128066399242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2128066399242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023091320832).

2128066399242 is an abundant number, since it is smaller than the sum of its proper divisors (3918116242422).

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

2128066399242 is an equidigital number, since it uses as much as digits as its factorization.

2128066399242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19827 (or 19803 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 2128066399242 in words is "two trillion, one hundred twenty-eight billion, sixty-six million, three hundred ninety-nine thousand, two hundred forty-two".