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495299039040 = 263251319767153
BaseRepresentation
bin1110011010100100001…
…11111000111101000000
31202100110020112011010100
413031102013320331000
531103333023222130
61015312013202400
750532654236661
oct7152207707500
91670406464110
10495299039040
111810674389a3
127bbaa790400
1337925241780
1419d88b65368
15cd3d09ac60
hex73521f8f40

495299039040 has 336 divisors, whose sum is σ = 1844010696528. Its totient is φ = 121299075072.

The previous prime is 495299039023. The next prime is 495299039083. The reversal of 495299039040 is 40930992594.

495299039040 is a `hidden beast` number, since 49 + 529 + 9 + 0 + 39 + 0 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3707348544 + 491591690496 = 60888^2 + 701136^2 .

It is a super-2 number, since 2×4952990390402 (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 7342104 + ... + 7409256.

It is an arithmetic number, because the mean of its divisors is an integer number (5488127073).

Almost surely, 2495299039040 is an apocalyptic number.

495299039040 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 495299039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922005348264).

495299039040 is an abundant number, since it is smaller than the sum of its proper divisors (1348711657488).

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

495299039040 is a wasteful number, since it uses less digits than its factorization.

495299039040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67386 (or 67373 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 495299039040 in words is "four hundred ninety-five billion, two hundred ninety-nine million, thirty-nine thousand, forty".