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18124745856 = 27378381239
BaseRepresentation
bin10000111000010100…
…011010110010000000
31201210010220111011120
4100320110122302000
5244104413331411
612154300112240
71211101540440
oct207024326200
951703814146
1018124745856
117760a45908
123619b35680
13192b0296b9
14c3d220120
157112ea106
hex43851ac80

18124745856 has 128 divisors (see below), whose sum is σ = 55685145600. Its totient is φ = 5116044288.

The previous prime is 18124745803. The next prime is 18124745869. The reversal of 18124745856 is 65854742181.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 18124745799 and 18124745808.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182485 + ... + 263723.

It is an arithmetic number, because the mean of its divisors is an integer number (435040200).

Almost surely, 218124745856 is an apocalyptic number.

18124745856 is a gapful number since it is divisible by the number (16) 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 18124745856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27842572800).

18124745856 is an abundant number, since it is smaller than the sum of its proper divisors (37560399744).

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

18124745856 is an equidigital number, since it uses as much as digits as its factorization.

18124745856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81346 (or 81334 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 51.

The spelling of 18124745856 in words is "eighteen billion, one hundred twenty-four million, seven hundred forty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 83 84 96 112 128 166 168 192 224 249 332 336 384 448 498 581 664 672 896 996 1162 1328 1344 1743 1992 2324 2656 2688 3486 3984 4648 5312 6972 7968 9296 10624 13944 15936 18592 27888 31872 37184 55776 74368 81239 111552 162478 223104 243717 324956 487434 568673 649912 974868 1137346 1299824 1706019 1949736 2274692 2599648 3412038 3899472 4549384 5199296 6742837 6824076 7798944 9098768 10398592 13485674 13648152 15597888 18197536 20228511 26971348 27296304 31195776 36395072 40457022 47199859 53942696 54592608 72790144 80914044 94399718 107885392 109185216 141599577 161828088 188799436 215770784 218370432 283199154 323656176 377598872 431541568 566398308 647312352 755197744 863083136 1132796616 1294624704 1510395488 2265593232 2589249408 3020790976 4531186464 6041581952 9062372928 18124745856