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6808804434432 = 2933711131922947
BaseRepresentation
bin110001100010100110001…
…0111101010001000000000
3220002220201021202220101000
41203011030113222020000
51343023412413400212
622251531021012000
71301630343526230
oct143051427521000
926086637686330
106808804434432
112195663664040
1291b7129b4000
133a50b53c5990
141977955bdcc0
15bc1a51c61dc
hex6314c5ea200

6808804434432 has 3840 divisors, whose sum is σ = 30173268787200. Its totient is φ = 1461460008960.

The previous prime is 6808804434389. The next prime is 6808804434449. The reversal of 6808804434432 is 2344344088086.

6808804434432 is a `hidden beast` number, since 6 + 80 + 8 + 80 + 4 + 43 + 443 + 2 = 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 383 ways as a sum of consecutive naturals, for example, 144868179433 + ... + 144868179479.

It is an arithmetic number, because the mean of its divisors is an integer number (7857622080).

Almost surely, 26808804434432 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 6808804434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15086634393600).

6808804434432 is an abundant number, since it is smaller than the sum of its proper divisors (23364464352768).

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

6808804434432 is a wasteful number, since it uses less digits than its factorization.

6808804434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 54.

The spelling of 6808804434432 in words is "six trillion, eight hundred eight billion, eight hundred four million, four hundred thirty-four thousand, four hundred thirty-two".