Search a number
-
+
212748651360 = 25345719123427
BaseRepresentation
bin1100011000100011001…
…1101100101101100000
3202100010211010021110000
43012020303230231200
511441202123320420
6241422501540000
721241052461530
oct3061063545540
9670124107400
10212748651360
1182254081703
1235295114600
13170a65c866b
14a4232dd4c0
1558027c7690
hex3188cecb60

212748651360 has 480 divisors, whose sum is σ = 903255978240. Its totient is φ = 46068507648.

The previous prime is 212748651331. The next prime is 212748651373. The reversal of 212748651360 is 63156847212.

212748651360 is a `hidden beast` number, since 2 + 1 + 2 + 74 + 8 + 6 + 513 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1661967 + ... + 1785393.

It is an arithmetic number, because the mean of its divisors is an integer number (1881783288).

Almost surely, 2212748651360 is an apocalyptic number.

212748651360 is a gapful number since it is divisible by the number (20) 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 212748651360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451627989120).

212748651360 is an abundant number, since it is smaller than the sum of its proper divisors (690507326880).

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

212748651360 is a wasteful number, since it uses less digits than its factorization.

212748651360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123480 (or 123463 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 212748651360 in words is "two hundred twelve billion, seven hundred forty-eight million, six hundred fifty-one thousand, three hundred sixty".