Search a number
-
+
213307460660 = 2257234310314957
BaseRepresentation
bin1100011010101000011…
…1011000110000110100
3202101120202121201200202
43012222013120300310
511443323202220120
6241554143100032
721260646333260
oct3065207306064
9671522551622
10213307460660
1182510556378
12354102a1618
1317165301758
14a4776030a0
1558368aa875
hex31aa1d8c34

213307460660 has 192 divisors, whose sum is σ = 551963123712. Its totient is φ = 67659508224.

The previous prime is 213307460581. The next prime is 213307460677. The reversal of 213307460660 is 66064703312.

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 63 ways as a sum of consecutive naturals, for example, 14253902 + ... + 14268858.

It is an arithmetic number, because the mean of its divisors is an integer number (2874807936).

Almost surely, 2213307460660 is an apocalyptic number.

213307460660 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 213307460660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275981561856).

213307460660 is an abundant number, since it is smaller than the sum of its proper divisors (338655663052).

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

213307460660 is a wasteful number, since it uses less digits than its factorization.

213307460660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15142 (or 15140 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 38.

The spelling of 213307460660 in words is "two hundred thirteen billion, three hundred seven million, four hundred sixty thousand, six hundred sixty".