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4659749856 = 25345413323
BaseRepresentation
bin1000101011011111…
…00010001111100000
3110000202010211010000
410111233202033200
534020343443411
62050214340000
7223321135356
oct42557421740
913022124100
104659749856
111a81342043
12aa065a600
1359350a448
14322c117d6
151c4146956
hex115be23e0

4659749856 has 120 divisors (see below), whose sum is σ = 13733657784. Its totient is φ = 1549912320.

The previous prime is 4659749839. The next prime is 4659749863. The reversal of 4659749856 is 6589479564.

4659749856 is a `hidden beast` number, since 4 + 6 + 5 + 97 + 498 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4659749793 and 4659749802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1400611 + ... + 1403933.

Almost surely, 24659749856 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 4659749856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6866828892).

4659749856 is an abundant number, since it is smaller than the sum of its proper divisors (9073907928).

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

4659749856 is a wasteful number, since it uses less digits than its factorization.

4659749856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3886 (or 3869 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The square root of 4659749856 is about 68262.3604631425. The cubic root of 4659749856 is about 1670.2732835901.

The spelling of 4659749856 in words is "four billion, six hundred fifty-nine million, seven hundred forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 541 648 864 1082 1296 1623 2164 2592 3246 3323 4328 4869 6492 6646 8656 9738 9969 12984 13292 14607 17312 19476 19938 25968 26584 29214 29907 38952 39876 43821 51936 53168 58428 59814 77904 79752 87642 89721 106336 116856 119628 155808 159504 175284 179442 233712 239256 269163 319008 350568 358884 467424 478512 538326 701136 717768 957024 1076652 1402272 1435536 1797743 2153304 2871072 3595486 4306608 5393229 7190972 8613216 10786458 14381944 16179687 21572916 28763888 32359374 43145832 48539061 57527776 64718748 86291664 97078122 129437496 145617183 172583328 194156244 258874992 291234366 388312488 517749984 582468732 776624976 1164937464 1553249952 2329874928 4659749856