Search a number
-
+
6985020330 = 2325296173601
BaseRepresentation
bin1101000000101011…
…01111001110101010
3200000210112210112200
412200111233032222
5103301131122310
63113041121030
7335044456521
oct64025571652
920023483480
106985020330
112a64953182
12142b329176
1387418c932
144a397b4b8
152ad35a9c0
hex1a056f3aa

6985020330 has 192 divisors, whose sum is σ = 19389071520. Its totient is φ = 1741824000.

The previous prime is 6985020313. The next prime is 6985020337. The reversal of 6985020330 is 330205896.

It can be written as a sum of positive squares in 16 ways, for example, as 438106761 + 6546913569 = 20931^2 + 80913^2 .

It is not an unprimeable number, because it can be changed into a prime (6985020337) by changing a digit.

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, 11622030 + ... + 11622630.

Almost surely, 26985020330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6985020330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9694535760).

6985020330 is an abundant number, since it is smaller than the sum of its proper divisors (12404051190).

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

6985020330 is a wasteful number, since it uses less digits than its factorization.

6985020330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6985020330 is about 83576.4340588901. The cubic root of 6985020330 is about 1911.5656807553.

The spelling of 6985020330 in words is "six billion, nine hundred eighty-five million, twenty thousand, three hundred thirty".