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5685898368 = 27341409883
BaseRepresentation
bin1010100101110011…
…11110110010000000
3112200021000120020110
411102321332302000
543121042221433
62340112311320
7260621224113
oct52271766200
915607016213
105685898368
1124585a5667
121128242540
136c7ca1507
143bd20857a
15234290963
hex152e7ec80

5685898368 has 128 divisors (see below), whose sum is σ = 15526929600. Its totient is φ = 1842462720.

The previous prime is 5685898357. The next prime is 5685898399. The reversal of 5685898368 is 8638985865.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (99532800) is a multiple of the sum of its prime factors (1350).

It is a junction number, because it is equal to n+sod(n) for n = 5685898299 and 5685898308.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6438855 + ... + 6439737.

Almost surely, 25685898368 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 5685898368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7763464800).

5685898368 is an abundant number, since it is smaller than the sum of its proper divisors (9841031232).

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

5685898368 is a wasteful number, since it uses less digits than its factorization.

5685898368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1338 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 66.

The square root of 5685898368 is about 75404.8961805532. The cubic root of 5685898368 is about 1784.8416735341.

The spelling of 5685898368 in words is "five billion, six hundred eighty-five million, eight hundred ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 409 492 656 818 883 984 1227 1312 1636 1766 1968 2454 2624 2649 3272 3532 3936 4908 5248 5298 6544 7064 7872 9816 10596 13088 14128 15744 16769 19632 21192 26176 28256 33538 36203 39264 42384 50307 52352 56512 67076 72406 78528 84768 100614 108609 113024 134152 144812 157056 169536 201228 217218 268304 289624 339072 361147 402456 434436 536608 579248 722294 804912 868872 1073216 1083441 1158496 1444588 1609824 1737744 2146432 2166882 2316992 2889176 3219648 3475488 4333764 4633984 5778352 6439296 6950976 8667528 11556704 13901952 14807027 17335056 23113408 29614054 34670112 44421081 46226816 59228108 69340224 88842162 118456216 138680448 177684324 236912432 355368648 473824864 710737296 947649728 1421474592 1895299456 2842949184 5685898368