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5001864228 = 2232198598513
BaseRepresentation
bin1001010100010001…
…00110010000100100
3110220120220000210200
410222020212100210
540220434123403
62144155150500
7234644100354
oct45210462044
913816800720
105001864228
112137470699
12b77145430
1361936229a
14356428b64
151e41c3ca3
hex12a226424

5001864228 has 72 divisors (see below), whose sum is σ = 13326112800. Its totient is φ = 1577511936.

The previous prime is 5001864193. The next prime is 5001864239. The reversal of 5001864228 is 8224681005.

5001864228 is a `hidden beast` number, since 5 + 0 + 0 + 1 + 8 + 642 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5001864192 and 5001864201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583300 + ... + 591812.

It is an arithmetic number, because the mean of its divisors is an integer number (185084900).

Almost surely, 25001864228 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 5001864228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6663056400).

5001864228 is an abundant number, since it is smaller than the sum of its proper divisors (8324248572).

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

5001864228 is a wasteful number, since it uses less digits than its factorization.

5001864228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9401 (or 9396 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5001864228 is about 70723.8589727682. The cubic root of 5001864228 is about 1710.1884392725.

The spelling of 5001864228 in words is "five billion, one million, eight hundred sixty-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 859 1718 2577 3436 5154 7731 8513 10308 15462 16321 17026 25539 30924 32642 34052 48963 51078 65284 76617 97926 102156 146889 153234 161747 195852 293778 306468 323494 485241 587556 646988 970482 1455723 1940964 2911446 5822892 7312667 14625334 21938001 29250668 43876002 65814003 87752004 131628006 138940673 263256012 277881346 416822019 555762692 833644038 1250466057 1667288076 2500932114 5001864228