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2124116352 = 2733614617
BaseRepresentation
bin111111010011011…
…0111000110000000
312111000220021212000
41332212313012000
513322233210402
6550435104000
7103431456021
oct17646670600
95430807760
102124116352
119a0010066
124b3442000
1327b0b2aa7
14162166c48
15c672cc1c
hex7e9b7180

2124116352 has 64 divisors (see below), whose sum is σ = 6269103600. Its totient is φ = 708037632.

The previous prime is 2124116327. The next prime is 2124116353. The reversal of 2124116352 is 2536114212.

2124116352 is a `hidden beast` number, since 2 + 1 + 24 + 1 + 1 + 635 + 2 = 666.

2124116352 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124116353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303853 + ... + 310764.

Almost surely, 22124116352 is an apocalyptic number.

It is an amenable number.

2124116352 is an abundant number, since it is smaller than the sum of its proper divisors (4144987248).

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

2124116352 is an equidigital number, since it uses as much as digits as its factorization.

2124116352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614640 (or 614622 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2124116352 is about 46088.1367816057. The cubic root of 2124116352 is about 1285.4625660861.

The spelling of 2124116352 in words is "two billion, one hundred twenty-four million, one hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 614617 1229234 1843851 2458468 3687702 4916936 5531553 7375404 9833872 11063106 14750808 16594659 19667744 22126212 29501616 33189318 39335488 44252424 59003232 66378636 78670976 88504848 118006464 132757272 177009696 236012928 265514544 354019392 531029088 708038784 1062058176 2124116352