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2127992256 = 263313432203
BaseRepresentation
bin111111011010110…
…1001010111000000
312111022012012121000
41332311221113000
513324231223011
6551054132000
7103506431025
oct17665512700
95438165530
102127992256
119a2218095
124b47b1000
1327bb3c020
1416289554c
15c6c46356
hex7ed695c0

2127992256 has 224 divisors, whose sum is σ = 6896933120. Its totient is φ = 639249408.

The previous prime is 2127992233. The next prime is 2127992327. The reversal of 2127992256 is 6522997212.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 964851 + ... + 967053.

It is an arithmetic number, because the mean of its divisors is an integer number (30789880).

Almost surely, 22127992256 is an apocalyptic number.

2127992256 is a gapful number since it is divisible by the number (26) 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 2127992256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448466560).

2127992256 is an abundant number, since it is smaller than the sum of its proper divisors (4768940864).

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

2127992256 is a wasteful number, since it uses less digits than its factorization.

2127992256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2264 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 2127992256 is about 46130.1664423618. The cubic root of 2127992256 is about 1286.2439580163.

The spelling of 2127992256 in words is "two billion, one hundred twenty-seven million, nine hundred ninety-two thousand, two hundred fifty-six".