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18479711232 = 2103212371621
BaseRepresentation
bin10001001101011110…
…100000010000000000
31202200212211121010100
4101031132200100000
5300321301224412
612253420202400
71222641645063
oct211536402000
952625747110
1018479711232
117923351624
1236b8999400
131986730998
14c744208da
15732564edc
hex44d7a0400

18479711232 has 132 divisors (see below), whose sum is σ = 53435845996. Its totient is φ = 6151127040.

The previous prime is 18479711213. The next prime is 18479711269. The reversal of 18479711232 is 23211797481.

It can be written as a sum of positive squares in 2 ways, for example, as 14079246336 + 4400464896 = 118656^2 + 66336^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11399382 + ... + 11401002.

Almost surely, 218479711232 is an apocalyptic number.

18479711232 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 18479711232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26717922998).

18479711232 is an abundant number, since it is smaller than the sum of its proper divisors (34956134764).

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

18479711232 is a wasteful number, since it uses less digits than its factorization.

18479711232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2863 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The spelling of 18479711232 in words is "eighteen billion, four hundred seventy-nine million, seven hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1237 1536 1621 2304 2474 3072 3242 3711 4608 4863 4948 6484 7422 9216 9726 9896 11133 12968 14589 14844 19452 19792 22266 25936 29178 29688 38904 39584 44532 51872 58356 59376 77808 79168 89064 103744 116712 118752 155616 158336 178128 207488 233424 237504 311232 316672 356256 414976 466848 475008 622464 633344 712512 829952 933696 950016 1244928 1266688 1425024 1659904 1867392 1900032 2005177 2489856 2850048 3734784 3800064 4010354 4979712 5700096 6015531 7469568 8020708 11400192 12031062 14939136 16041416 18046593 24062124 32082832 36093186 48124248 64165664 72186372 96248496 128331328 144372744 192496992 256662656 288745488 384993984 513325312 577490976 769987968 1026650624 1154981952 1539975936 2053301248 2309963904 3079951872 4619927808 6159903744 9239855616 18479711232