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2125948288 = 27139119489
BaseRepresentation
bin111111010110111…
…0110010110000000
312111011100100210111
41332231312112000
513323220321123
6550542241104
7103453155652
oct17655662600
95434310714
102125948288
119a1051462
124b3b86194
1327b5a4889
141624c26d2
15c699090d
hex7eb76580

2125948288 has 32 divisors (see below), whose sum is σ = 4265793000. Its totient is φ = 1055318016.

The previous prime is 2125948283. The next prime is 2125948301. The reversal of 2125948288 is 8828495212.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×21259482882 = 9039312246500261888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125948283) 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 3 ways as a sum of consecutive naturals, for example, 41953 + ... + 77536.

Almost surely, 22125948288 is an apocalyptic number.

It is an amenable number.

2125948288 is an abundant number, since it is smaller than the sum of its proper divisors (2139844712).

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

2125948288 is a wasteful number, since it uses less digits than its factorization.

2125948288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119642 (or 119630 counting only the distinct ones).

The product of its digits is 737280, while the sum is 49.

The square root of 2125948288 is about 46108.0067667211. The cubic root of 2125948288 is about 1285.8320073185.

The spelling of 2125948288 in words is "two billion, one hundred twenty-five million, nine hundred forty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 139 278 556 1112 2224 4448 8896 17792 119489 238978 477956 955912 1911824 3823648 7647296 15294592 16608971 33217942 66435884 132871768 265743536 531487072 1062974144 2125948288