Search a number
-
+
18843232000 = 28531035717
BaseRepresentation
bin10001100011001001…
…001110011100000000
31210122012212100212111
4101203021032130000
5302042331411000
612353443505104
71234644554305
oct214311163400
953565770774
1018843232000
117a9a57110a
12379a688194
131a13b3c128
14caa80b0ac
1575441ecba
hex46324e700

18843232000 has 144 divisors (see below), whose sum is σ = 47404873152. Its totient is φ = 7462809600.

The previous prime is 18843231991. The next prime is 18843232019. The reversal of 18843232000 is 23234881.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3293142 + ... + 3298858.

It is an arithmetic number, because the mean of its divisors is an integer number (329200508).

Almost surely, 218843232000 is an apocalyptic number.

18843232000 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 18843232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23702436576).

18843232000 is an abundant number, since it is smaller than the sum of its proper divisors (28561641152).

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

18843232000 is an equidigital number, since it uses as much as digits as its factorization.

18843232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5851 (or 5827 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 18843232000 its reverse (23234881), we get a palindrome (18866466881).

The spelling of 18843232000 in words is "eighteen billion, eight hundred forty-three million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 103 125 128 160 200 206 250 256 320 400 412 500 515 640 800 824 1000 1030 1280 1600 1648 2000 2060 2575 3200 3296 4000 4120 5150 5717 6400 6592 8000 8240 10300 11434 12875 13184 16000 16480 20600 22868 25750 26368 28585 32000 32960 41200 45736 51500 57170 65920 82400 91472 103000 114340 131840 142925 164800 182944 206000 228680 285850 329600 365888 412000 457360 571700 588851 659200 714625 731776 824000 914720 1143400 1177702 1429250 1463552 1648000 1829440 2286800 2355404 2858500 2944255 3296000 3658880 4573600 4710808 5717000 5888510 7317760 9147200 9421616 11434000 11777020 14721275 18294400 18843232 22868000 23554040 29442550 36588800 37686464 45736000 47108080 58885100 73606375 75372928 91472000 94216160 117770200 147212750 150745856 182944000 188432320 235540400 294425500 376864640 471080800 588851000 753729280 942161600 1177702000 1884323200 2355404000 3768646400 4710808000 9421616000 18843232000