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2145067264 = 2817946811
BaseRepresentation
bin111111111011011…
…0010000100000000
312112111022201002201
41333312302010000
513343114123024
6552504122544
7104104525264
oct17766620400
95474281081
102145067264
11a0091a86a
124ba466454
13282539c92
14164c5c0a4
15c84ba744
hex7fdb2100

2145067264 has 36 divisors (see below), whose sum is σ = 4305767760. Its totient is φ = 1066519040.

The previous prime is 2145067219. The next prime is 2145067279. The reversal of 2145067264 is 4627605412.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22419 + ... + 69229.

It is an arithmetic number, because the mean of its divisors is an integer number (119604660).

Almost surely, 22145067264 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 2145067264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152883880).

2145067264 is an abundant number, since it is smaller than the sum of its proper divisors (2160700496).

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

2145067264 is an equidigital number, since it uses as much as digits as its factorization.

2145067264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47006 (or 46992 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 2145067264 is about 46314.8708731872. The cubic root of 2145067264 is about 1289.6750706975.

The spelling of 2145067264 in words is "two billion, one hundred forty-five million, sixty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 179 256 358 716 1432 2864 5728 11456 22912 45824 46811 93622 187244 374488 748976 1497952 2995904 5991808 8379169 11983616 16758338 33516676 67033352 134066704 268133408 536266816 1072533632 2145067264