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2123504064 = 263211335149
BaseRepresentation
bin111111010010010…
…0001100111000000
312110222202011221200
41332210201213000
513322104112224
6550414021200
7103423325643
oct17644414700
95428664850
102123504064
1199a732040
124b31a7800
1327ac2a1a6
14162047a5a
15c665b5c9
hex7e9219c0

2123504064 has 84 divisors (see below), whose sum is σ = 6639991800. Its totient is φ = 643484160.

The previous prime is 2123504041. The next prime is 2123504069. The reversal of 2123504064 is 4604053212.

2123504064 is a `hidden beast` number, since 21 + 235 + 0 + 406 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123504069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161239 + ... + 173910.

Almost surely, 22123504064 is an apocalyptic number.

2123504064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2123504064 is an abundant number, since it is smaller than the sum of its proper divisors (4516487736).

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

2123504064 is a wasteful number, since it uses less digits than its factorization.

2123504064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335178 (or 335165 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2123504064 is about 46081.4937257897. The cubic root of 2123504064 is about 1285.3390403761.

Adding to 2123504064 its reverse (4604053212), we get a palindrome (6727557276).

The spelling of 2123504064 in words is "two billion, one hundred twenty-three million, five hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 335149 670298 1005447 1340596 2010894 2681192 3016341 3686639 4021788 5362384 6032682 7373278 8043576 10724768 11059917 12065364 14746556 16087152 21449536 22119834 24130728 29493112 32174304 33179751 44239668 48261456 58986224 64348608 66359502 88479336 96522912 117972448 132719004 176958672 193045824 235944896 265438008 353917344 530876016 707834688 1061752032 2123504064