Search a number
-
+
492080571648 = 2832596797557
BaseRepresentation
bin1110010100100100100…
…10011010010100000000
31202001010221102001212100
413022102102122110000
531030240111243043
61014020402230400
750360133563061
oct7122222322400
91661127361770
10492080571648
1117a765721796
127b450955400
13375315082b3
1419b61530568
15cc00750cd3
hex729249a500

492080571648 has 432 divisors, whose sum is σ = 1482124512960. Its totient is φ = 156920315904.

The previous prime is 492080571623. The next prime is 492080571727. The reversal of 492080571648 is 846175080294.

It is a happy number.

492080571648 is a `hidden beast` number, since 4 + 9 + 2 + 0 + 8 + 0 + 571 + 64 + 8 = 666.

It is a super-2 number, since 2×4920805716482 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 492080571594 and 492080571603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 883447786 + ... + 883448342.

It is an arithmetic number, because the mean of its divisors is an integer number (3430843780).

Almost surely, 2492080571648 is an apocalyptic number.

492080571648 is a gapful number since it is divisible by the number (48) 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 492080571648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741062256480).

492080571648 is an abundant number, since it is smaller than the sum of its proper divisors (990043941312).

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

492080571648 is a wasteful number, since it uses less digits than its factorization.

492080571648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 492080571648 in words is "four hundred ninety-two billion, eighty million, five hundred seventy-one thousand, six hundred forty-eight".