Search a number
-
+
212504526630 = 2325111931364433
BaseRepresentation
bin1100010111101001000…
…0011011111100100110
3202022111210202110021100
43011322100123330212
511440202124323010
6241342341300530
721232026446604
oct3057220337446
9668453673240
10212504526630
11821392a1130
1235227404746
1317067b62266
14a3dcb12874
1557db1542c0
hex317a41bf26

212504526630 has 192 divisors, whose sum is σ = 654931630080. Its totient is φ = 47230387200.

The previous prime is 212504526581. The next prime is 212504526677. The reversal of 212504526630 is 36625405212.

212504526630 is a `hidden beast` number, since 2 + 12 + 5 + 0 + 4 + 5 + 2 + 6 + 630 = 666.

212504526630 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 400894 + ... + 765326.

It is an arithmetic number, because the mean of its divisors is an integer number (3411102240).

Almost surely, 2212504526630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212504526630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327465815040).

212504526630 is an abundant number, since it is smaller than the sum of its proper divisors (442427103450).

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

212504526630 is a wasteful number, since it uses less digits than its factorization.

212504526630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364507 (or 364504 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 212504526630 in words is "two hundred twelve billion, five hundred four million, five hundred twenty-six thousand, six hundred thirty".