Search a number
-
+
6980717932590 = 23523413181811
BaseRepresentation
bin110010110010101001100…
…1101100111000000101110
3220201100110020100110111110
41211211103031213000232
51403333002242320330
622502521511532450
71320224461253223
oct145452315470056
926640406313443
106980717932590
112251562316746
12948ab038a126
133b83818cb49c
141a1c2343594a
15c18b79e8db0
hex6595336702e

6980717932590 has 256 divisors, whose sum is σ = 18040411404288. Its totient is φ = 1725432192000.

The previous prime is 6980717932537. The next prime is 6980717932597. The reversal of 6980717932590 is 952397170896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6980717932597) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8607543285 + ... + 8607544095.

It is an arithmetic number, because the mean of its divisors is an integer number (70470357048).

Almost surely, 26980717932590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6980717932590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9020205702144).

6980717932590 is an abundant number, since it is smaller than the sum of its proper divisors (11059693471698).

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

6980717932590 is a wasteful number, since it uses less digits than its factorization.

6980717932590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 66.

The spelling of 6980717932590 in words is "six trillion, nine hundred eighty billion, seven hundred seventeen million, nine hundred thirty-two thousand, five hundred ninety".