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2131654608 = 243227753441
BaseRepresentation
bin111111100001110…
…0111011111010000
312111120002021101200
41333003213133100
513331200421413
6551304431200
7103552523316
oct17703473720
95446067350
102131654608
119a4299726
124b5a78500
1327c821cb5
1416316a0b6
15c721b573
hex7f0e77d0

2131654608 has 60 divisors (see below), whose sum is σ = 5987321028. Its totient is φ = 707973120.

The previous prime is 2131654583. The next prime is 2131654627. The reversal of 2131654608 is 8064561312.

It is a happy number.

2131654608 is a `hidden beast` number, since 2 + 131 + 65 + 460 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 858021264 + 1273633344 = 29292^2 + 35688^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13168 + ... + 66608.

Almost surely, 22131654608 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 2131654608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993660514).

2131654608 is an abundant number, since it is smaller than the sum of its proper divisors (3855666420).

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

2131654608 is a wasteful number, since it uses less digits than its factorization.

2131654608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53732 (or 53723 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2131654608 is about 46169.8452239121. The cubic root of 2131654608 is about 1286.9814259721.

The spelling of 2131654608 in words is "two billion, one hundred thirty-one million, six hundred fifty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 277 554 831 1108 1662 2216 2493 3324 4432 4986 6648 9972 13296 19944 39888 53441 106882 160323 213764 320646 427528 480969 641292 855056 961938 1282584 1923876 2565168 3847752 7695504 14803157 29606314 44409471 59212628 88818942 118425256 133228413 177637884 236850512 266456826 355275768 532913652 710551536 1065827304 2131654608