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18028727400 = 23352128923311
BaseRepresentation
bin10000110010100110…
…001000110001101000
31201112110020020121110
4100302212020301220
5243410323234100
612140550110320
71205524440315
oct206246106150
951473206543
1018028727400
117711823812
1235b194b3a0
13191417b248
14c30587d0c
15707b80250
hex432988c68

18028727400 has 96 divisors (see below), whose sum is σ = 55934812800. Its totient is φ = 4803724800.

The previous prime is 18028727371. The next prime is 18028727441. The reversal of 18028727400 is 472782081.

It is an unprimeable number.

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, 761745 + ... + 785055.

It is an arithmetic number, because the mean of its divisors is an integer number (582654300).

Almost surely, 218028727400 is an apocalyptic number.

18028727400 is a gapful number since it is divisible by the number (10) 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 18028727400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27967406400).

18028727400 is an abundant number, since it is smaller than the sum of its proper divisors (37906085400).

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

18028727400 is a wasteful number, since it uses less digits than its factorization.

18028727400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24619 (or 24610 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The spelling of 18028727400 in words is "eighteen billion, twenty-eight million, seven hundred twenty-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1289 2578 3867 5156 6445 7734 10312 12890 15468 19335 23311 25780 30936 32225 38670 46622 51560 64450 69933 77340 93244 96675 116555 128900 139866 154680 186488 193350 233110 257800 279732 349665 386700 466220 559464 582775 699330 773400 932440 1165550 1398660 1748325 2331100 2797320 3496650 4662200 6993300 13986600 30047879 60095758 90143637 120191516 150239395 180287274 240383032 300478790 360574548 450718185 600957580 721149096 751196975 901436370 1201915160 1502393950 1802872740 2253590925 3004787900 3605745480 4507181850 6009575800 9014363700 18028727400