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2125749360 = 2435751731
BaseRepresentation
bin111111010110100…
…0101110001110000
312111010222020220210
41332231011301300
513323142434420
6550534104120
7103451400000
oct17655056160
95433866823
102125749360
119a0a25a59
124b3aab040
1327b535177
14162470000
15c69519e0
hex7eb45c70

2125749360 has 480 divisors, whose sum is σ = 8402890752. Its totient is φ = 442552320.

The previous prime is 2125749349. The next prime is 2125749361. The reversal of 2125749360 is 639475212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125749361) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 68572545 + ... + 68572575.

Almost surely, 22125749360 is an apocalyptic number.

2125749360 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 2125749360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201445376).

2125749360 is an abundant number, since it is smaller than the sum of its proper divisors (6277141392).

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

2125749360 is an equidigital number, since it uses as much as digits as its factorization.

2125749360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 2125749360 is about 46105.8495204242. The cubic root of 2125749360 is about 1285.7919003586.

The spelling of 2125749360 in words is "two billion, one hundred twenty-five million, seven hundred forty-nine thousand, three hundred sixty".