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495216720000 = 273354229267
BaseRepresentation
bin1110011010011010011…
…01110111100010000000
31202100020111121220122000
413031031031313202000
531103200440020000
61015255512544000
750530634444532
oct7151515674200
91670214556560
10495216720000
11181024a23432
127bb870b2000
133791117b992
1419d7bc57852
15cd35c3a000
hex734d377880

495216720000 has 320 divisors, whose sum is σ = 1826394741600. Its totient is φ = 132057216000.

The previous prime is 495216719999. The next prime is 495216720017. The reversal of 495216720000 is 27612594.

495216720000 is a `hidden beast` number, since 495 + 2 + 167 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 2045367 + ... + 2274633.

Almost surely, 2495216720000 is an apocalyptic number.

495216720000 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 495216720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913197370800).

495216720000 is an abundant number, since it is smaller than the sum of its proper divisors (1331178021600).

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

495216720000 is an equidigital number, since it uses as much as digits as its factorization.

495216720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229310 (or 229277 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 495216720000 in words is "four hundred ninety-five billion, two hundred sixteen million, seven hundred twenty thousand".