Search a number
-
+
210426317640 = 233357115347743
BaseRepresentation
bin1100001111111001100…
…0101100101101001000
3202010010222020111111000
43003332120230231020
511421423114131030
6240400222135000
721126363121350
oct3037630545510
9663128214430
10210426317640
1181272196a40
1234947421460
1316ac6433ab6
14a282ad9b60
155718993860
hex30fe62cb48

210426317640 has 512 divisors, whose sum is σ = 891017625600. Its totient is φ = 42899051520.

The previous prime is 210426317617. The next prime is 210426317683. The reversal of 210426317640 is 46713624012.

210426317640 is a `hidden beast` number, since 2 + 1 + 0 + 4 + 2 + 6 + 3 + 1 + 7 + 640 = 666.

210426317640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 210426317595 and 210426317604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4383609 + ... + 4431351.

It is an arithmetic number, because the mean of its divisors is an integer number (1740268800).

Almost surely, 2210426317640 is an apocalyptic number.

210426317640 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 210426317640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445508812800).

210426317640 is an abundant number, since it is smaller than the sum of its proper divisors (680591307960).

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

210426317640 is a wasteful number, since it uses less digits than its factorization.

210426317640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47834 (or 47824 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 210426317640 in words is "two hundred ten billion, four hundred twenty-six million, three hundred seventeen thousand, six hundred forty".