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18156428544 = 28369134213
BaseRepresentation
bin10000111010001101…
…010001110100000000
31201212100112010122110
4100322031101310000
5244141021203134
612201351135320
71211635045002
oct207215216400
951770463573
1018156428544
117777915551
123628674540
131934770557
14c4350a372
15713ea77e9
hex43a351d00

18156428544 has 72 divisors (see below), whose sum is σ = 48393923872. Its totient is φ = 6043207680.

The previous prime is 18156428539. The next prime is 18156428581. The reversal of 18156428544 is 44582465181.

It is a Smith number, since the sum of its digits (48) 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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 18156428493 and 18156428502.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 513582 + ... + 547794.

Almost surely, 218156428544 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 18156428544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24196961936).

18156428544 is an abundant number, since it is smaller than the sum of its proper divisors (30237495328).

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

18156428544 is an equidigital number, since it uses as much as digits as its factorization.

18156428544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34923 (or 34909 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 48.

The spelling of 18156428544 in words is "eighteen billion, one hundred fifty-six million, four hundred twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 691 768 1382 2073 2764 4146 5528 8292 11056 16584 22112 33168 34213 44224 66336 68426 88448 102639 132672 136852 176896 205278 265344 273704 410556 530688 547408 821112 1094816 1642224 2189632 3284448 4379264 6568896 8758528 13137792 23641183 26275584 47282366 70923549 94564732 141847098 189129464 283694196 378258928 567388392 756517856 1134776784 1513035712 2269553568 3026071424 4539107136 6052142848 9078214272 18156428544