Search a number
-
+
60492146218728 = 23374740923817867
BaseRepresentation
bin11011100000100011011001…
…11000110001011011101000
321221011222210200022210200220
431300101230320301123220
530412100403412444403
6332353412555530040
715512261526655440
oct1560215470613350
9257158720283626
1060492146218728
1118302636571484
12694b949459920
13279a50085cbc3
1410d1b9a875120
156ed815e6e953
hex37046ce316e8

60492146218728 has 256 divisors, whose sum is σ = 177040423526400. Its totient is φ = 16865147013120.

The previous prime is 60492146218723. The next prime is 60492146218741. The reversal of 60492146218728 is 82781264129406.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (60492146218723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7689349851 + ... + 7689357717.

It is an arithmetic number, because the mean of its divisors is an integer number (691564154400).

Almost surely, 260492146218728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60492146218728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88520211763200).

60492146218728 is an abundant number, since it is smaller than the sum of its proper divisors (116548277307672).

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

60492146218728 is a wasteful number, since it uses less digits than its factorization.

60492146218728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10720 (or 10716 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 60492146218728 in words is "sixty trillion, four hundred ninety-two billion, one hundred forty-six million, two hundred eighteen thousand, seven hundred twenty-eight".