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2125407216 = 243291526873
BaseRepresentation
bin111111010101111…
…0010001111110000
312111010022212120210
41332223302033300
513323101012331
6550522504120
7103445443332
oct17653621760
95433285523
102125407216
119a0811999
124b3965040
1327b44550a
141623c1452
15c68d5446
hex7eaf23f0

2125407216 has 40 divisors (see below), whose sum is σ = 5679971280. Its totient is φ = 684038656.

The previous prime is 2125407199. The next prime is 2125407217. The reversal of 2125407216 is 6127045212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125407217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 762045 + ... + 764828.

It is an arithmetic number, because the mean of its divisors is an integer number (141999282).

Almost surely, 22125407216 is an apocalyptic number.

It is an amenable number.

2125407216 is an abundant number, since it is smaller than the sum of its proper divisors (3554564064).

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

2125407216 is a wasteful number, since it uses less digits than its factorization.

2125407216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526913 (or 1526907 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2125407216 is about 46102.1389525475. The cubic root of 2125407216 is about 1285.7229129862.

The spelling of 2125407216 in words is "two billion, one hundred twenty-five million, four hundred seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 1526873 3053746 4580619 6107492 9161238 12214984 18322476 24429968 36644952 44279317 73289904 88558634 132837951 177117268 265675902 354234536 531351804 708469072 1062703608 2125407216