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5999868900 = 22325246114461
BaseRepresentation
bin1011001011001111…
…01011101111100100
3120111010210220211200
411211213223233210
544241431301100
62431210002500
7301453021104
oct54547535744
916433726750
105999868900
1125a9851343
1211b5416430
137480511ac
1440cbb7204
15251b0de00
hex1659ebbe4

5999868900 has 108 divisors (see below), whose sum is σ = 18848353524. Its totient is φ = 1596384000.

The previous prime is 5999868893. The next prime is 5999868911. The reversal of 5999868900 is 98689995.

It can be written as a sum of positive squares in 6 ways, for example, as 1452524544 + 4547344356 = 38112^2 + 67434^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 407670 + ... + 422130.

Almost surely, 25999868900 is an apocalyptic number.

5999868900 is a gapful number since it is divisible by the number (50) 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 5999868900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9424176762).

5999868900 is an abundant number, since it is smaller than the sum of its proper divisors (12848484624).

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

5999868900 is a wasteful number, since it uses less digits than its factorization.

5999868900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14942 (or 14932 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 63.

The square root of 5999868900 is about 77458.8206726645. The cubic root of 5999868900 is about 1817.1073580408.

The spelling of 5999868900 in words is "five billion, nine hundred ninety-nine million, eight hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 461 900 922 1383 1844 2305 2766 4149 4610 5532 6915 8298 9220 11525 13830 14461 16596 20745 23050 27660 28922 34575 41490 43383 46100 57844 69150 72305 82980 86766 103725 130149 138300 144610 173532 207450 216915 260298 289220 361525 414900 433830 520596 650745 723050 867660 1084575 1301490 1446100 2169150 2602980 3253725 4338300 6507450 6666521 13014900 13333042 19999563 26666084 33332605 39999126 59998689 66665210 79998252 99997815 119997378 133330420 166663025 199995630 239994756 299993445 333326050 399991260 499989075 599986890 666652100 999978150 1199973780 1499967225 1999956300 2999934450 5999868900