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2143328256 = 2113383467
BaseRepresentation
bin111111111000000…
…1001100000000000
312112101001100122000
41333300021200000
513342143001011
6552402544000
7104053663266
oct17760114000
95471040560
102143328256
119aa942273
124b9968000
1328207b594
14164928436
15c8275356
hex7fc09800

2143328256 has 192 divisors, whose sum is σ = 6439305600. Its totient is φ = 704323584.

The previous prime is 2143328207. The next prime is 2143328273. The reversal of 2143328256 is 6528233412.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2143328256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4589335 + ... + 4589801.

It is an arithmetic number, because the mean of its divisors is an integer number (33538050).

Almost surely, 22143328256 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 2143328256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219652800).

2143328256 is an abundant number, since it is smaller than the sum of its proper divisors (4295977344).

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

2143328256 is an equidigital number, since it uses as much as digits as its factorization.

2143328256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 555 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2143328256 is about 46296.0933125032. The cubic root of 2143328256 is about 1289.3264628871.

The spelling of 2143328256 in words is "two billion, one hundred forty-three million, three hundred twenty-eight thousand, two hundred fifty-six".