Search a number
-
+
492476342592 = 2631329314153101
BaseRepresentation
bin1110010101010011110…
…00001010000101000000
31202002011112010022112110
413022221320022011000
531032042420430332
61014123541055320
750403010562163
oct7125170120500
91662145108473
10492476342592
1117a949069313
127b5413b7540
13375954c89a0
1419b9bd13ada
15cc2537b4cc
hex72a9e0a140

492476342592 has 896 divisors, whose sum is σ = 1579451166720. Its totient is φ = 134184960000.

The previous prime is 492476342581. The next prime is 492476342593. The reversal of 492476342592 is 295243674294.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492476342593) 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, 4876003342 + ... + 4876003442.

It is an arithmetic number, because the mean of its divisors is an integer number (1762780320).

Almost surely, 2492476342592 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 492476342592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789725583360).

492476342592 is an abundant number, since it is smaller than the sum of its proper divisors (1086974824128).

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

492476342592 is a wasteful number, since it uses less digits than its factorization.

492476342592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 273 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 57.

The spelling of 492476342592 in words is "four hundred ninety-two billion, four hundred seventy-six million, three hundred forty-two thousand, five hundred ninety-two".