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18102087936 = 283228032
BaseRepresentation
bin10000110110111101…
…111111000100000000
31201201120021100100100
4100312331333010000
5244033113303221
612152130322400
71210405131402
oct206675770400
951646240310
1018102087936
11774a17a659
123612429400
13192642554a
14c3a202b72
1570e321926
hex436f7f100

18102087936 has 81 divisors (see below), whose sum is σ = 52211409159. Its totient is φ = 6031876608.

The previous prime is 18102087907. The next prime is 18102087959. The reversal of 18102087936 is 63978020181.

The square root of 18102087936 is 134544.

It is a perfect power (a square), and thus also a powerful number.

It is a junction number, because it is equal to n+sod(n) for n = 18102087891 and 18102087900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6456711 + ... + 6459513.

Almost surely, 218102087936 is an apocalyptic number.

18102087936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18102087936 is the 134544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18102087936

18102087936 is an abundant number, since it is smaller than the sum of its proper divisors (34109321223).

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

18102087936 is an frugal number, since it uses more digits than its factorization.

18102087936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5628 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 18102087936 in words is "eighteen billion, one hundred two million, eighty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 2803 5606 8409 11212 16818 22424 25227 33636 44848 50454 67272 89696 100908 134544 179392 201816 269088 358784 403632 538176 717568 807264 1076352 1614528 2152704 3229056 6458112 7856809 15713618 23570427 31427236 47140854 62854472 70711281 94281708 125708944 141422562 188563416 251417888 282845124 377126832 502835776 565690248 754253664 1005671552 1131380496 1508507328 2011343104 2262760992 3017014656 4525521984 6034029312 9051043968 18102087936