Search a number
-
+
492930771200 = 28527192291051
BaseRepresentation
bin1110010110001001111…
…01101010100100000000
31202010100012012200101122
413023010331222210000
531034010234134300
61014241013051412
750420166265010
oct7130475524400
91663305180348
10492930771200
1118006162a24a
127b649626b68
13376386b635a
1419c02405c40
15cc501e1c85
hex72c4f6a900

492930771200 has 648 divisors, whose sum is σ = 1523823094080. Its totient is φ = 154441728000.

The previous prime is 492930771187. The next prime is 492930771227. The reversal of 492930771200 is 2177039294.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 469010675 + ... + 469011725.

Almost surely, 2492930771200 is an apocalyptic number.

492930771200 is a gapful number since it is divisible by the number (40) 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 492930771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761911547040).

492930771200 is an abundant number, since it is smaller than the sum of its proper divisors (1030892322880).

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

492930771200 is a wasteful number, since it uses less digits than its factorization.

492930771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 44.

The spelling of 492930771200 in words is "four hundred ninety-two billion, nine hundred thirty million, seven hundred seventy-one thousand, two hundred".