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5000018688 = 28327310021
BaseRepresentation
bin1001010100000011…
…00011101100000000
3110220110102021012100
410222001203230000
540220001044223
62144051430400
7234622312650
oct45201435400
913813367170
105000018688
112136420055
12b765b5400
13618b67252
143560a8360
151e3e5c043
hex12a063b00

5000018688 has 108 divisors (see below), whose sum is σ = 16475809168. Its totient is φ = 1428572160.

The previous prime is 5000018677. The next prime is 5000018707. The reversal of 5000018688 is 8868100005.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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 11 ways as a sum of consecutive naturals, for example, 138883 + ... + 171138.

Almost surely, 25000018688 is an apocalyptic number.

It is an amenable number.

5000018688 is an abundant number, since it is smaller than the sum of its proper divisors (11475790480).

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

5000018688 is a wasteful number, since it uses less digits than its factorization.

5000018688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310050 (or 310033 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 5000018688 is about 70710.8102626465. The cubic root of 5000018688 is about 1709.9780770761.

The spelling of 5000018688 in words is "five billion, eighteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 310021 620042 930063 1240084 1860126 2170147 2480168 2790189 3720252 4340294 4960336 5580378 6510441 7440504 8680588 9920672 11160756 13020882 14881008 17361176 19531323 19841344 22321512 26041764 29762016 34722352 39062646 39682688 44643024 52083528 59524032 69444704 78125292 79365376 89286048 104167056 119048064 138889408 156250584 178572096 208334112 238096128 277778816 312501168 357144192 416668224 555557632 625002336 714288384 833336448 1250004672 1666672896 2500009344 5000018688