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4099605552 = 243274394583
BaseRepresentation
bin1111010001011011…
…0000010000110000
3101120201010112120200
43310112300100300
531343444334202
61514444435200
7203410033530
oct36426602060
911521115520
104099605552
111814136369
12964b48b00
13504457803
142ac6814c0
1518ed9ce1c
hexf45b0430

4099605552 has 120 divisors (see below), whose sum is σ = 13417307904. Its totient is φ = 1144063872.

The previous prime is 4099605541. The next prime is 4099605557. The reversal of 4099605552 is 2555069904.

It is a happy number.

4099605552 is a `hidden beast` number, since 4 + 0 + 9 + 96 + 0 + 5 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4099605498 and 4099605507.

It is not an unprimeable number, because it can be changed into a prime (4099605557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3948 + ... + 90635.

Almost surely, 24099605552 is an apocalyptic number.

4099605552 is a gapful number since it is divisible by the number (42) 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 4099605552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6708653952).

4099605552 is an abundant number, since it is smaller than the sum of its proper divisors (9317702352).

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

4099605552 is a wasteful number, since it uses less digits than its factorization.

4099605552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94647 (or 94638 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 4099605552 is about 64028.1621788413. The cubic root of 4099605552 is about 1600.4693352310.

The spelling of 4099605552 in words is "four billion, ninety-nine million, six hundred five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 43 48 56 63 72 84 86 112 126 129 144 168 172 252 258 301 336 344 387 504 516 602 688 774 903 1008 1032 1204 1548 1806 2064 2408 2709 3096 3612 4816 5418 6192 7224 10836 14448 21672 43344 94583 189166 283749 378332 567498 662081 756664 851247 1134996 1324162 1513328 1702494 1986243 2269992 2648324 3404988 3972486 4067069 4539984 5296648 5958729 6809976 7944972 8134138 10593296 11917458 12201207 13619952 15889944 16268276 23834916 24402414 28469483 31779888 32536552 36603621 47669832 48804828 56938966 65073104 73207242 85408449 95339664 97609656 113877932 146414484 170816898 195219312 227755864 256225347 292828968 341633796 455511728 512450694 585657936 683267592 1024901388 1366535184 2049802776 4099605552