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18085013740 = 225311071312081
BaseRepresentation
bin10000110101111100…
…110110100011101100
31201200101010212221201
4100311330312203230
5244014230414430
612150320335244
71210110036403
oct206574664354
951611125851
1018085013740
117740578552
123608774524
131922a27a81
14c37c3a63a
1570ca9c8ca
hex435f368ec

18085013740 has 96 divisors (see below), whose sum is σ = 39891253248. Its totient is φ = 6878976000.

The previous prime is 18085013707. The next prime is 18085013759. The reversal of 18085013740 is 4731058081.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 18085013740.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8689500 + ... + 8691580.

It is an arithmetic number, because the mean of its divisors is an integer number (415533888).

Almost surely, 218085013740 is an apocalyptic number.

18085013740 is a gapful number since it is divisible by the number (10) 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 18085013740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19945626624).

18085013740 is an abundant number, since it is smaller than the sum of its proper divisors (21806239508).

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

18085013740 is a wasteful number, since it uses less digits than its factorization.

18085013740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The spelling of 18085013740 in words is "eighteen billion, eighty-five million, thirteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 31 62 107 124 131 155 214 262 310 428 524 535 620 655 1070 1310 2081 2140 2620 3317 4061 4162 6634 8122 8324 10405 13268 14017 16244 16585 20305 20810 28034 33170 40610 41620 56068 64511 66340 70085 81220 129022 140170 222667 258044 272611 280340 322555 434527 445334 545222 645110 869054 890668 1090444 1113335 1290220 1363055 1738108 2172635 2226670 2726110 4345270 4453340 5452220 6902677 8450941 8690540 13805354 16901882 27610708 29169377 33803764 34513385 42254705 58338754 69026770 84509410 116677508 138053540 145846885 169018820 291693770 583387540 904250687 1808501374 3617002748 4521253435 9042506870 18085013740