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2143199520 = 2533571117379
BaseRepresentation
bin111111110111110…
…1010000100100000
312112100210211001000
41333233222010200
513342124341040
6552400112000
7104052616050
oct17757520440
95470724030
102143199520
119aa864580
124b9905600
13282034ac7
141648d3560
15c824c130
hex7fbea120

2143199520 has 768 divisors, whose sum is σ = 9928396800. Its totient is φ = 418037760.

The previous prime is 2143199489. The next prime is 2143199533. The reversal of 2143199520 is 259913412.

2143199520 is a `hidden beast` number, since 2 + 1 + 43 + 1 + 99 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 5654691 + ... + 5655069.

It is an arithmetic number, because the mean of its divisors is an integer number (12927600).

Almost surely, 22143199520 is an apocalyptic number.

2143199520 is a gapful number since it is divisible by the number (20) 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 2143199520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4964198400).

2143199520 is an abundant number, since it is smaller than the sum of its proper divisors (7785197280).

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

2143199520 is a wasteful number, since it uses less digits than its factorization.

2143199520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2143199520 is about 46294.7029367292. The cubic root of 2143199520 is about 1289.3006485095.

The spelling of 2143199520 in words is "two billion, one hundred forty-three million, one hundred ninety-nine thousand, five hundred twenty".