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18258434136 = 23321914492957
BaseRepresentation
bin10001000000010010…
…011001100001011000
31202010110110120000100
4101000102121201120
5244343124343021
612215433335400
71214314062255
oct210022314130
952113416010
1018258434136
11781a456898
123656867560
13194c936ba7
14c52ca042c
1571ce06626
hex440499858

18258434136 has 96 divisors (see below), whose sum is σ = 49836384000. Its totient is φ = 6038753280.

The previous prime is 18258434111. The next prime is 18258434137. The reversal of 18258434136 is 63143485281.

18258434136 is a `hidden beast` number, since 1 + 8 + 2 + 584 + 34 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18258434091 and 18258434100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18258434137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6173170 + ... + 6176126.

It is an arithmetic number, because the mean of its divisors is an integer number (519129000).

Almost surely, 218258434136 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 18258434136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24918192000).

18258434136 is an abundant number, since it is smaller than the sum of its proper divisors (31577949864).

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

18258434136 is a wasteful number, since it uses less digits than its factorization.

18258434136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3602 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 18258434136 in words is "eighteen billion, two hundred fifty-eight million, four hundred thirty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 191 382 449 573 764 898 1146 1347 1528 1719 1796 2292 2694 2957 3438 3592 4041 4584 5388 5914 6876 8082 8871 10776 11828 13752 16164 17742 23656 26613 32328 35484 53226 70968 85759 106452 171518 212904 257277 343036 514554 564787 686072 771831 1029108 1129574 1327693 1543662 1694361 2058216 2259148 2655386 3087324 3388722 3983079 4518296 5083083 5310772 6174648 6777444 7966158 10166166 10621544 11949237 13554888 15932316 20332332 23898474 31864632 40664664 47796948 95593896 253589363 507178726 760768089 1014357452 1521536178 2028714904 2282304267 3043072356 4564608534 6086144712 9129217068 18258434136