Search a number
-
+
18135411804 = 22323121437583
BaseRepresentation
bin10000111000111101…
…000110110001011100
31201210212222101002200
4100320331012301130
5244120131134204
612155320451500
71211261312466
oct207075066134
951725871080
1018135411804
117766a70344
123621619b90
1319302c2403
14c407d9136
15712205539
hex438f46c5c

18135411804 has 72 divisors (see below), whose sum is σ = 47349399552. Its totient is φ = 5846631840.

The previous prime is 18135411803. The next prime is 18135411829. The reversal of 18135411804 is 40811453181.

It is a super-2 number, since 2×181354118042 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18135411803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2387797 + ... + 2395379.

Almost surely, 218135411804 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 18135411804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23674699776).

18135411804 is an abundant number, since it is smaller than the sum of its proper divisors (29213987748).

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

18135411804 is a wasteful number, since it uses less digits than its factorization.

18135411804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9767 (or 9762 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Adding to 18135411804 its reverse (40811453181), we get a palindrome (58946864985).

The spelling of 18135411804 in words is "eighteen billion, one hundred thirty-five million, four hundred eleven thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 2143 4286 6429 7583 8572 12858 15166 19287 22749 25716 30332 38574 45498 66433 68247 77148 90996 132866 136494 199299 235073 265732 272988 398598 470146 597897 705219 797196 940292 1195794 1410438 2115657 2391588 2820876 4231314 8462628 16250369 32500738 48751107 65001476 97502214 146253321 195004428 292506642 503761439 585013284 1007522878 1511284317 2015045756 3022568634 4533852951 6045137268 9067705902 18135411804