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18324113400 = 23325222034621
BaseRepresentation
bin10001000100001100…
…111100011111111000
31202022001001102000200
4101010030330133320
5300011433112100
612230141202200
71216042252065
oct210414743770
952261042020
1018324113400
11785353667a
123674860360
131960421b68
14c5b8b9c6c
15723a7be00
hex44433c7f8

18324113400 has 144 divisors (see below), whose sum is σ = 61579737960. Its totient is φ = 4883155200.

The previous prime is 18324113389. The next prime is 18324113411. The reversal of 18324113400 is 431142381.

18324113400 is a `hidden beast` number, since 1 + 8 + 3 + 241 + 13 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (18324113389) and next prime (18324113411).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3963090 + ... + 3967710.

Almost surely, 218324113400 is an apocalyptic number.

18324113400 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 18324113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30789868980).

18324113400 is an abundant number, since it is smaller than the sum of its proper divisors (43255624560).

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

18324113400 is a wasteful number, since it uses less digits than its factorization.

18324113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6846 (or 6834 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 18324113400 its reverse (431142381), we get a palindrome (18755255781).

The spelling of 18324113400 in words is "eighteen billion, three hundred twenty-four million, one hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 2203 4406 4621 6609 8812 9242 11015 13218 13863 17624 18484 19827 22030 23105 26436 27726 33045 36968 39654 41589 44060 46210 52872 55075 55452 66090 69315 79308 83178 88120 92420 99135 110150 110904 115525 132180 138630 158616 165225 166356 184840 198270 207945 220300 231050 264360 277260 330450 332712 346575 396540 415890 440600 462100 495675 554520 660900 693150 793080 831780 924200 991350 1039725 1321800 1386300 1663560 1982700 2079450 2772600 3965400 4158900 8317800 10180063 20360126 30540189 40720252 50900315 61080378 81440504 91620567 101800630 122160756 152700945 183241134 203601260 244321512 254501575 305401890 366482268 407202520 458102835 509003150 610803780 732964536 763504725 916205670 1018006300 1221607560 1527009450 1832411340 2036012600 2290514175 3054018900 3664822680 4581028350 6108037800 9162056700 18324113400