Search a number
-
+
210357064680 = 233572431276551
BaseRepresentation
bin1100001111101001000…
…0100001001111101000
3202002222010221002021120
43003322100201033220
511421302402032210
6240345305535240
721124562355600
oct3037220411750
9662863832246
10210357064680
1181237096194
12349281a4520
1316ab4c97309
14a27782dc00
155712864270
hex30fa4213e8

210357064680 has 384 divisors, whose sum is σ = 757205729280. Its totient is φ = 46586534400.

The previous prime is 210357064679. The next prime is 210357064691. The reversal of 210357064680 is 86460753012.

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

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 95 ways as a sum of consecutive naturals, for example, 32107405 + ... + 32113955.

It is an arithmetic number, because the mean of its divisors is an integer number (1971889920).

Almost surely, 2210357064680 is an apocalyptic number.

210357064680 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 210357064680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378602864640).

210357064680 is an abundant number, since it is smaller than the sum of its proper divisors (546848664600).

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

210357064680 is a wasteful number, since it uses less digits than its factorization.

210357064680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6749 (or 6738 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 210357064680 in words is "two hundred ten billion, three hundred fifty-seven million, sixty-four thousand, six hundred eighty".