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18132606960 = 2435135811733
BaseRepresentation
bin10000111000110010…
…011001111111110000
31201210200200212120120
4100320302121333300
5244113421410320
612155140410240
71211225421216
oct207062317760
951720625516
1018132606960
117765424a96
1236206a6980
13192c84c840
14c402a8cb6
15711d4e440
hex438c99ff0

18132606960 has 80 divisors (see below), whose sum is σ = 60535021344. Its totient is φ = 4463410176.

The previous prime is 18132606959. The next prime is 18132606967. The reversal of 18132606960 is 6960623181.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18132606967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2902747 + ... + 2908986.

Almost surely, 218132606960 is an apocalyptic number.

18132606960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18132606960 is an abundant number, since it is smaller than the sum of its proper divisors (42402414384).

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

18132606960 is a wasteful number, since it uses less digits than its factorization.

18132606960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5811762 (or 5811756 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 18132606960 in words is "eighteen billion, one hundred thirty-two million, six hundred six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 5811733 11623466 17435199 23246932 29058665 34870398 46493864 58117330 69740796 75552529 87175995 92987728 116234660 139481592 151105058 174351990 226657587 232469320 278963184 302210116 348703980 377762645 453315174 464938640 604420232 697407960 755525290 906630348 1133287935 1208840464 1394815920 1511050580 1813260696 2266575870 3022101160 3626521392 4533151740 6044202320 9066303480 18132606960