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18423132432 = 24379289691
BaseRepresentation
bin10001001010000110…
…101011000100010000
31202112221101002121020
4101022012223010100
5300212310214212
612244035355440
71221354020235
oct211206530420
952487332536
1018423132432
1178a4418091
1236a1a52b80
131977ab0cc3
14c6aad378c
1572c5dad8c
hex44a1ab110

18423132432 has 120 divisors (see below), whose sum is σ = 48815313120. Its totient is φ = 5986506240.

The previous prime is 18423132391. The next prime is 18423132439. The reversal of 18423132432 is 23423132481.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (27648) is a multiple of the sum of its prime divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 18423132393 and 18423132402.

It is not an unprimeable number, because it can be changed into a prime (18423132439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26661207 + ... + 26661897.

It is an arithmetic number, because the mean of its divisors is an integer number (406794276).

Almost surely, 218423132432 is an apocalyptic number.

18423132432 is a gapful number since it is divisible by the number (12) 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 18423132432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24407656560).

18423132432 is an abundant number, since it is smaller than the sum of its proper divisors (30392180688).

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

18423132432 is an equidigital number, since it uses as much as digits as its factorization.

18423132432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 864 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The spelling of 18423132432 in words is "eighteen billion, four hundred twenty-three million, one hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 89 158 178 237 267 316 356 474 534 632 691 712 948 1068 1264 1382 1424 1896 2073 2136 2764 3792 4146 4272 5528 6241 7031 8292 11056 12482 14062 16584 18723 21093 24964 28124 33168 37446 42186 49928 54589 56248 61499 74892 84372 99856 109178 112496 122998 149784 163767 168744 184497 218356 245996 299568 327534 337488 368994 436712 491992 555449 655068 737988 873424 983984 1110898 1310136 1475976 1666347 2221796 2620272 2951952 3332694 4312531 4443592 4858421 6665388 8625062 8887184 9716842 12937593 13330776 14575263 17250124 19433684 25875186 26661552 29150526 34500248 38867368 51750372 58301052 69000496 77734736 103500744 116602104 207001488 233204208 383815259 767630518 1151445777 1535261036 2302891554 3070522072 4605783108 6141044144 9211566216 18423132432