Search a number
-
+
212747006472 = 2337111324113673
BaseRepresentation
bin1100011000100010110…
…1011011001000001000
3202100010201000201002020
43012020231123020020
511441201213201342
6241422402404440
721241032501120
oct3061055331010
9670121021066
10212747006472
11822531588a0
1235294660720
13170a6170a60
14a422dd1c80
1558025a00ec
hex3188b5b208

212747006472 has 256 divisors, whose sum is σ = 714606520320. Its totient is φ = 50973235200.

The previous prime is 212747006419. The next prime is 212747006489. The reversal of 212747006472 is 274600747212.

It is a super-2 number, since 2×2127470064722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57920028 + ... + 57923700.

It is an arithmetic number, because the mean of its divisors is an integer number (2791431720).

Almost surely, 2212747006472 is an apocalyptic number.

212747006472 is a gapful number since it is divisible by the number (22) 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 212747006472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357303260160).

212747006472 is an abundant number, since it is smaller than the sum of its proper divisors (501859513848).

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

212747006472 is a wasteful number, since it uses less digits than its factorization.

212747006472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6124 (or 6120 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 42.

The spelling of 212747006472 in words is "two hundred twelve billion, seven hundred forty-seven million, six thousand, four hundred seventy-two".