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482769291264 = 21131331194977
BaseRepresentation
bin1110000011001110100…
…10101100100000000000
31201011010000121000102220
413001213102230200000
530402202414310024
61005440421211040
746610321161041
oct7014722544000
91634100530386
10482769291264
11176817751a47
1279692560a80
13366a940a930
141951aa4a8c8
15c858087e79
hex70674ac800

482769291264 has 192 divisors, whose sum is σ = 1430795358720. Its totient is φ = 143751905280.

The previous prime is 482769291253. The next prime is 482769291287. The reversal of 482769291264 is 462192967284.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 482769291198 and 482769291207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2378544 + ... + 2573520.

It is an arithmetic number, because the mean of its divisors is an integer number (7452059160).

Almost surely, 2482769291264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482769291264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715397679360).

482769291264 is an abundant number, since it is smaller than the sum of its proper divisors (948026067456).

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

482769291264 is a wasteful number, since it uses less digits than its factorization.

482769291264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195046 (or 195026 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 60.

The spelling of 482769291264 in words is "four hundred eighty-two billion, seven hundred sixty-nine million, two hundred ninety-one thousand, two hundred sixty-four".