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804488980320 = 25355194572383
BaseRepresentation
bin10111011010011110100…
…01111010011101100000
32211220112012221120100000
423231033101322131200
5101140043134332240
61413324354500000
7112056662335134
oct13551721723540
92756465846300
10804488980320
11290200069093
1210bab9894600
135ab2ac9544c
142ad1a6033c4
1515dd7455430
hexbb4f47a760

804488980320 has 576 divisors, whose sum is σ = 3004657044480. Its totient is φ = 202709495808.

The previous prime is 804488980223. The next prime is 804488980331. The reversal of 804488980320 is 23089884408.

804488980320 is a `hidden beast` number, since 80 + 4 + 488 + 9 + 80 + 3 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 337593849 + ... + 337596231.

It is an arithmetic number, because the mean of its divisors is an integer number (5216418480).

Almost surely, 2804488980320 is an apocalyptic number.

804488980320 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 804488980320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502328522240).

804488980320 is an abundant number, since it is smaller than the sum of its proper divisors (2200168064160).

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

804488980320 is a wasteful number, since it uses less digits than its factorization.

804488980320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889 (or 2869 counting only the distinct ones).

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

The spelling of 804488980320 in words is "eight hundred four billion, four hundred eighty-eight million, nine hundred eighty thousand, three hundred twenty".