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12178221640 = 2351324197177
BaseRepresentation
bin10110101011110000…
…01110101001001000
31011102201110202110221
423111320032221020
5144420111043030
65332233315424
7610534114234
oct132570165110
934381422427
1012178221640
11518a31a192
12243a565b74
1311c1065110
148375715c4
154b4226e7a
hex2d5e0ea48

12178221640 has 64 divisors (see below), whose sum is σ = 29631515760. Its totient is φ = 4477870080.

The previous prime is 12178221637. The next prime is 12178221641. The reversal of 12178221640 is 4612287121.

It can be written as a sum of positive squares in 8 ways, for example, as 6519270564 + 5658951076 = 80742^2 + 75226^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12178221596 and 12178221605.

It is not an unprimeable number, because it can be changed into a prime (12178221641) 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, 76732 + ... + 173908.

Almost surely, 212178221640 is an apocalyptic number.

12178221640 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 12178221640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14815757880).

12178221640 is an abundant number, since it is smaller than the sum of its proper divisors (17453294120).

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

12178221640 is a wasteful number, since it uses less digits than its factorization.

12178221640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97442 (or 97438 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 12178221640 in words is "twelve billion, one hundred seventy-eight million, two hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 241 260 482 520 964 1205 1928 2410 3133 4820 6266 9640 12532 15665 25064 31330 62660 97177 125320 194354 388708 485885 777416 971770 1263301 1943540 2526602 3887080 5053204 6316505 10106408 12633010 23419657 25266020 46839314 50532040 93678628 117098285 187357256 234196570 304455541 468393140 608911082 936786280 1217822164 1522277705 2435644328 3044555410 6089110820 12178221640