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492930928080 = 243353115746889
BaseRepresentation
bin1110010110001001111…
…10010000110111010000
31202010100012111122121000
413023010332100313100
531034010304144310
61014241020302000
750420200520253
oct7130476206720
91663305448530
10492930928080
111800617270a8
127b6496a1900
133763873c896
1419c0244709a
15cc502234c0
hex72c4f90dd0

492930928080 has 320 divisors, whose sum is σ = 1763844249600. Its totient is φ = 126395043840.

The previous prime is 492930928073. The next prime is 492930928093. The reversal of 492930928080 is 80829039294.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10489276 + ... + 10536164.

It is an arithmetic number, because the mean of its divisors is an integer number (5512013280).

Almost surely, 2492930928080 is an apocalyptic number.

492930928080 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 492930928080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881922124800).

492930928080 is an abundant number, since it is smaller than the sum of its proper divisors (1270913321520).

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

492930928080 is a wasteful number, since it uses less digits than its factorization.

492930928080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47099 (or 47087 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 492930928080 in words is "four hundred ninety-two billion, nine hundred thirty million, nine hundred twenty-eight thousand, eighty".