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5853991968 = 2532112963719
BaseRepresentation
bin1010111001110110…
…01101010000100000
3120002222022121022100
411130323031100200
543442110220333
62404515210400
7265032052656
oct53473152040
916088277270
105853991968
1125344758a0
1211745a6a00
13723a66b96
143d7682dd6
15243de6213
hex15cecd420

5853991968 has 144 divisors (see below), whose sum is σ = 18787204800. Its totient is φ = 1712739840.

The previous prime is 5853991937. The next prime is 5853991991. The reversal of 5853991968 is 8691993585.

5853991968 is a `hidden beast` number, since 5 + 8 + 539 + 9 + 1 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×58539919682 = 68538443922817026048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60013 + ... + 123731.

It is an arithmetic number, because the mean of its divisors is an integer number (130466700).

Almost surely, 25853991968 is an apocalyptic number.

5853991968 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5853991968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9393602400).

5853991968 is an abundant number, since it is smaller than the sum of its proper divisors (12933212832).

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

5853991968 is a wasteful number, since it uses less digits than its factorization.

5853991968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63775 (or 63764 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 63.

The square root of 5853991968 is about 76511.3845646516. The cubic root of 5853991968 is about 1802.2597101333.

The spelling of 5853991968 in words is "five billion, eight hundred fifty-three million, nine hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 32 33 36 44 48 58 66 72 87 88 96 99 116 132 144 174 176 198 232 261 264 288 319 348 352 396 464 522 528 638 696 792 928 957 1044 1056 1276 1392 1584 1914 2088 2552 2784 2871 3168 3828 4176 5104 5742 7656 8352 10208 11484 15312 22968 30624 45936 63719 91872 127438 191157 254876 382314 509752 573471 700909 764628 1019504 1146942 1401818 1529256 1847851 2039008 2102727 2293884 2803636 3058512 3695702 4205454 4587768 5543553 5607272 6117024 6308181 7391404 8410908 9175536 11087106 11214544 12616362 14782808 16630659 16821816 18351072 20326361 22174212 22429088 25232724 29565616 33261318 33643632 40652722 44348424 50465448 59131232 60979083 66522636 67287264 81305444 88696848 100930896 121958166 133045272 162610888 177393696 182937249 201861792 243916332 266090544 325221776 365874498 487832664 532181088 650443552 731748996 975665328 1463497992 1951330656 2926995984 5853991968