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492747386560 = 265111314972269
BaseRepresentation
bin1110010101110100000…
…10000110111011000000
31202002212102010202221221
413022322002012323000
531033121312332220
61014210502324424
750412511451632
oct7127202067300
91662772122857
10492747386560
1117aa780656a0
127b5b8129714
13376096c8a30
1419bc5d0aa52
15cc3e06a9aa
hex72ba086ec0

492747386560 has 224 divisors, whose sum is σ = 1387757448000. Its totient is φ = 164285399040.

The previous prime is 492747386503. The next prime is 492747386567. The reversal of 492747386560 is 65683747294.

It is a super-3 number, since 3×4927473865603 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (492747386567) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6782106 + ... + 6854374.

It is an arithmetic number, because the mean of its divisors is an integer number (6195345750).

Almost surely, 2492747386560 is an apocalyptic number.

492747386560 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 492747386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693878724000).

492747386560 is an abundant number, since it is smaller than the sum of its proper divisors (895010061440).

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

492747386560 is a wasteful number, since it uses less digits than its factorization.

492747386560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72459 (or 72449 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 61.

The spelling of 492747386560 in words is "four hundred ninety-two billion, seven hundred forty-seven million, three hundred eighty-six thousand, five hundred sixty".