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12463936164 = 22322328092
BaseRepresentation
bin10111001101110100…
…01001001010100100
31012011122002120010100
423212322021022210
5201011231424124
65420441224100
7620603465211
oct134672111244
935148076110
1012463936164
115316626799
1224ba192030
131238300874
148634a6b08
154ce3631c9
hex2e6e892a4

12463936164 has 81 divisors (see below), whose sum is σ = 32976208993. Its totient is φ = 3969096384.

The previous prime is 12463936127. The next prime is 12463936211. The reversal of 12463936164 is 46163936421.

The square root of 12463936164 is 111642.

It is a perfect power (a square), and thus also a powerful number.

12463936164 is a `hidden beast` number, since 1 + 2 + 4 + 639 + 3 + 6 + 1 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10970886564 + 1493049600 = 104742^2 + 38640^2 .

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15406192 + ... + 15407000.

Almost surely, 212463936164 is an apocalyptic number.

12463936164 is the 111642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12463936164

12463936164 is an abundant number, since it is smaller than the sum of its proper divisors (20512272829).

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

12463936164 is an equidigital number, since it uses as much as digits as its factorization.

12463936164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 837 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 12463936164 in words is "twelve billion, four hundred sixty-three million, nine hundred thirty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 809 828 1058 1587 1618 2116 2427 3174 3236 4761 4854 6348 7281 9522 9708 14562 18607 19044 29124 37214 55821 74428 111642 167463 223284 334926 427961 654481 669852 855922 1283883 1308962 1711844 1963443 2567766 2617924 3851649 3926886 5135532 5890329 7703298 7853772 11780658 15053063 15406596 23561316 30106126 45159189 60212252 90318378 135477567 180636756 270955134 346220449 541910268 692440898 1038661347 1384881796 2077322694 3115984041 4154645388 6231968082 12463936164