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804639080448 = 217377401
BaseRepresentation
bin10111011010110000011…
…10100000000000000000
32211220220200101110000000
423231120032200000000
5101140400101033243
61413351320000000
7112063464222630
oct13553016400000
92756820343000
10804639080448
11290277869585
1210bb40000000
135ab530caaa8
142ad325166c0
1515de57045d3
hexbb583a0000

804639080448 has 576 divisors, whose sum is σ = 2765210192640. Its totient is φ = 229323571200.

The previous prime is 804639080369. The next prime is 804639080449. The reversal of 804639080448 is 844080936408.

804639080448 is a `hidden beast` number, since 80 + 46 + 3 + 9 + 0 + 80 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 804639080394 and 804639080403.

It is not an unprimeable number, because it can be changed into a prime (804639080449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2006581048 + ... + 2006581448.

It is an arithmetic number, because the mean of its divisors is an integer number (4800712140).

Almost surely, 2804639080448 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 804639080448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382605096320).

804639080448 is an abundant number, since it is smaller than the sum of its proper divisors (1960571112192).

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

804639080448 is an frugal number, since it uses more digits than its factorization.

804639080448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 804639080448 in words is "eight hundred four billion, six hundred thirty-nine million, eighty thousand, four hundred forty-eight".