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18156310128 = 24321113218677
BaseRepresentation
bin10000111010001100…
…110100111001110000
31201212100022010012200
4100322030310321300
5244141003411003
612201344423200
71211634042525
oct207214647160
951770263180
1018156310128
117777844590
123628617b00
13193472b698
14c434b914c
15713e826a3
hex43a334e70

18156310128 has 120 divisors (see below), whose sum is σ = 55480120176. Its totient is φ = 5497113600.

The previous prime is 18156310127. The next prime is 18156310157. The reversal of 18156310128 is 82101365181.

18156310128 is a `hidden beast` number, since 1 + 8 + 1 + 5 + 631 + 0 + 12 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 18156310092 and 18156310101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18156310127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2088126 + ... + 2096802.

Almost surely, 218156310128 is an apocalyptic number.

18156310128 is a gapful number since it is divisible by the number (18) 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 18156310128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27740060088).

18156310128 is an abundant number, since it is smaller than the sum of its proper divisors (37323810048).

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

18156310128 is a wasteful number, since it uses less digits than its factorization.

18156310128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10023 (or 10014 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 18156310128 in words is "eighteen billion, one hundred fifty-six million, three hundred ten thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1321 1584 2642 3963 5284 7926 8677 10568 11889 14531 15852 17354 21136 23778 26031 29062 31704 34708 43593 47556 52062 58124 63408 69416 78093 87186 95112 95447 104124 116248 130779 138832 156186 174372 190224 190894 208248 232496 261558 286341 312372 348744 381788 416496 523116 572682 624744 697488 763576 859023 1046232 1145364 1249488 1527152 1718046 2092464 2290728 3436092 4581456 6872184 11462317 13744368 22924634 34386951 45849268 68773902 91698536 103160853 126085487 137547804 183397072 206321706 252170974 275095608 378256461 412643412 504341948 550191216 756512922 825286824 1008683896 1134769383 1513025844 1650573648 2017367792 2269538766 3026051688 4539077532 6052103376 9078155064 18156310128