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495442282720 = 25571133171151
BaseRepresentation
bin1110011010110101010…
…10010100100011100000
31202100211020001200111211
413031122222110203200
531104131211021340
61015334131315504
750536343630020
oct7153252244340
91670736050454
10495442282720
11181130286000
128002a74bb94
1337948b16348
1419d9dbb1a80
15cd4a9435ea
hex735aa948e0

495442282720 has 768 divisors, whose sum is σ = 1550418444288. Its totient is φ = 146361600000.

The previous prime is 495442282717. The next prime is 495442282739. The reversal of 495442282720 is 27282244594.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3281074645 + ... + 3281074795.

It is an arithmetic number, because the mean of its divisors is an integer number (2018774016).

Almost surely, 2495442282720 is an apocalyptic number.

495442282720 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 495442282720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775209222144).

495442282720 is an abundant number, since it is smaller than the sum of its proper divisors (1054976161568).

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

495442282720 is a wasteful number, since it uses less digits than its factorization.

495442282720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 49.

The spelling of 495442282720 in words is "four hundred ninety-five billion, four hundred forty-two million, two hundred eighty-two thousand, seven hundred twenty".