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454740480000 = 21235541743
BaseRepresentation
bin1101001111000001010…
…01010001000000000000
31121110202122102212200000
412213200221101000000
524422302030330000
6544523242400000
744565615206112
oct6474051210000
91543678385600
10454740480000
11165944167214
127416b800000
1333b60543001
141801c31b3b2
15bc67530000
hex69e0a51000

454740480000 has 1560 divisors, whose sum is σ = 1844227633248. Its totient is φ = 111476736000.

The previous prime is 454740479989. The next prime is 454740480001. The reversal of 454740480000 is 84047454.

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

It is not an unprimeable number, because it can be changed into a prime (454740480001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10575359979 + ... + 10575360021.

Almost surely, 2454740480000 is an apocalyptic number.

454740480000 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 454740480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922113816624).

454740480000 is an abundant number, since it is smaller than the sum of its proper divisors (1389487153248).

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

454740480000 is an frugal number, since it uses more digits than its factorization.

454740480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 454740480000 in words is "four hundred fifty-four billion, seven hundred forty million, four hundred eighty thousand".