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12187601480 = 2352920175209
BaseRepresentation
bin10110101100111000…
…00000101001001000
31011110101010022012102
423112130000221020
5144430011221410
65333210332532
7611006621555
oct132634005110
934411108172
1012187601480
11519464641a
12244172a148
1311c2c9a612
148388d3a2c
154b4e7b2a5
hex2d6700a48

12187601480 has 64 divisors (see below), whose sum is σ = 28387206000. Its totient is φ = 4703698944.

The previous prime is 12187601479. The next prime is 12187601501. The reversal of 12187601480 is 8410678121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10908966916 + 1278634564 = 104446^2 + 35758^2 .

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, 2337116 + ... + 2342324.

Almost surely, 212187601480 is an apocalyptic number.

12187601480 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 12187601480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14193603000).

12187601480 is an abundant number, since it is smaller than the sum of its proper divisors (16199604520).

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

12187601480 is a wasteful number, since it uses less digits than its factorization.

12187601480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7266 (or 7262 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 38.

The spelling of 12187601480 in words is "twelve billion, one hundred eighty-seven million, six hundred one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 2017 4034 5209 8068 10085 10418 16136 20170 20836 26045 40340 41672 52090 58493 80680 104180 116986 151061 208360 233972 292465 302122 467944 584930 604244 755305 1169860 1208488 1510610 2339720 3021220 6042440 10506553 21013106 42026212 52532765 84052424 105065530 210131060 304690037 420262120 609380074 1218760148 1523450185 2437520296 3046900370 6093800740 12187601480