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212632534244 = 221321729363149
BaseRepresentation
bin1100011000000111100…
…0101111110011100100
3202022211201121220201002
43012001320233303210
511440432412043434
6241403153052432
721235142501624
oct3060170576344
9668751556632
10212632534244
11821a4582149
1235262257118
1317088530c00
14a411b14884
1557e74dc57e
hex3181e2fce4

212632534244 has 72 divisors (see below), whose sum is σ = 428097133800. Its totient is φ = 92048566272.

The previous prime is 212632534243. The next prime is 212632534273. The reversal of 212632534244 is 442435236212.

212632534244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 46729468900 + 165903065344 = 216170^2 + 407312^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212632534198 and 212632534207.

It is not an unprimeable number, because it can be changed into a prime (212632534243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3335582 + ... + 3398730.

It is an arithmetic number, because the mean of its divisors is an integer number (5945793525).

Almost surely, 2212632534244 is an apocalyptic number.

It is an amenable number.

212632534244 is an abundant number, since it is smaller than the sum of its proper divisors (215464599556).

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

212632534244 is a wasteful number, since it uses less digits than its factorization.

212632534244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63489 (or 63474 counting only the distinct ones).

The product of its digits is 276480, while the sum is 38.

The spelling of 212632534244 in words is "two hundred twelve billion, six hundred thirty-two million, five hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 4 13 17 26 34 52 68 169 221 293 338 442 586 676 884 1172 2873 3809 4981 5746 7618 9962 11492 15236 19924 49517 63149 64753 99034 126298 129506 198068 252596 259012 820937 841789 1073533 1641874 1683578 2147066 3283748 3367156 4294132 10672181 13955929 18502657 21344362 27911858 37005314 42688724 55823716 74010628 181427077 240534541 314545169 362854154 481069082 629090338 725708308 962138164 1258180676 3126949033 4089087197 6253898066 8178174394 12507796132 16356348788 53158133561 106316267122 212632534244