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804428916480 = 28325712917727
BaseRepresentation
bin10111011010010111011…
…00110010011100000000
32211220101000221000020100
423231023230302130000
5101134432300311410
61413314411242400
7112055332653660
oct13551354623400
92756330830210
10804428916480
1129017a174252
1210baa1749400
135ab1b6c5407
142ad1264a1a0
1515dd203d8c0
hexbb4bb32700

804428916480 has 432 divisors, whose sum is σ = 3183721841664. Its totient is φ = 183703265280.

The previous prime is 804428916433. The next prime is 804428916491. The reversal of 804428916480 is 84619824408.

It is a happy number.

804428916480 is a `hidden beast` number, since 80 + 4 + 4 + 2 + 89 + 1 + 6 + 480 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 104102377 + ... + 104110103.

Almost surely, 2804428916480 is an apocalyptic number.

804428916480 is a gapful number since it is divisible by the number (80) 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 804428916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591860920832).

804428916480 is an abundant number, since it is smaller than the sum of its proper divisors (2379292925184).

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

804428916480 is a wasteful number, since it uses less digits than its factorization.

804428916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9052 (or 9035 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 804428916480 in words is "eight hundred four billion, four hundred twenty-eight million, nine hundred sixteen thousand, four hundred eighty".