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18104000328 = 233210121572
BaseRepresentation
bin10000110111000101…
…010001111101001000
31201201200212111122200
4100313011101331020
5244034111002303
612152235320200
71210430315031
oct206705217510
951650774580
1018104000328
117750266447
123612bb0060
131926944b3b
14c3a57da88
1570e59d3a3
hex437151f48

18104000328 has 108 divisors (see below), whose sum is σ = 49839371595. Its totient is φ = 5936860800.

The previous prime is 18104000273. The next prime is 18104000329. The reversal of 18104000328 is 82300040181.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 15192534564 + 2911465764 = 123258^2 + 53958^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=95142.

It is not an unprimeable number, because it can be changed into a prime (18104000329) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 115312026 + ... + 115312182.

Almost surely, 218104000328 is an apocalyptic number.

18104000328 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 18104000328

18104000328 is an abundant number, since it is smaller than the sum of its proper divisors (31735371267).

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

18104000328 is a wasteful number, since it uses less digits than its factorization.

18104000328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 18104000328 in words is "eighteen billion, one hundred four million, three hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 157 202 303 314 404 471 606 628 808 909 942 1212 1256 1413 1818 1884 2424 2826 3636 3768 5652 7272 10201 11304 15857 20402 24649 30603 31714 40804 47571 49298 61206 63428 73947 81608 91809 95142 98596 122412 126856 142713 147894 183618 190284 197192 221841 244824 285426 295788 367236 380568 443682 570852 591576 734472 887364 1141704 1601557 1774728 2489549 3203114 4804671 4979098 6406228 7468647 9609342 9958196 12812456 14414013 14937294 19218684 19916392 22405941 28828026 29874588 38437368 44811882 57656052 59749176 89623764 115312104 179247528 251444449 502888898 754333347 1005777796 1508666694 2011555592 2263000041 3017333388 4526000082 6034666776 9052000164 18104000328