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2125644288 = 2935326111
BaseRepresentation
bin111111010110010…
…1100001000000000
312111010202220210020
41332230230020000
513323131104123
6550531533440
7103450451445
oct17654541000
95433686706
102125644288
119a0964019
124b3a5a280
1327b4c93b1
141624439cc
15c69307e3
hex7eb2c200

2125644288 has 80 divisors (see below), whose sum is σ = 5769916416. Its totient is φ = 695152640.

The previous prime is 2125644277. The next prime is 2125644289. The reversal of 2125644288 is 8824465212.

It is not an unprimeable number, because it can be changed into a prime (2125644289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68353 + ... + 94463.

Almost surely, 22125644288 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 2125644288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884958208).

2125644288 is an abundant number, since it is smaller than the sum of its proper divisors (3644272128).

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

2125644288 is an equidigital number, since it uses as much as digits as its factorization.

2125644288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26185 (or 26169 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 2125644288 is about 46104.7100413830. The cubic root of 2125644288 is about 1285.7707152094.

The spelling of 2125644288 in words is "two billion, one hundred twenty-five million, six hundred forty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 512 636 768 848 1272 1536 1696 2544 3392 5088 6784 10176 13568 20352 26111 27136 40704 52222 78333 81408 104444 156666 208888 313332 417776 626664 835552 1253328 1383883 1671104 2506656 2767766 3342208 4151649 5013312 5535532 6684416 8303298 10026624 11071064 13368832 16606596 20053248 22142128 33213192 40106496 44284256 66426384 88568512 132852768 177137024 265705536 354274048 531411072 708548096 1062822144 2125644288