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8080776042768 = 243311132331183461
BaseRepresentation
bin111010110010111001111…
…0010010001100100010000
31001121111220011202112102000
41311211303302101210100
52024343412131332033
625104131322554000
71462550110024212
oct165456362214420
931544804675360
108080776042768
112636046457780
12aa6137668900
13468024741480
141dd17c5085b2
15e02ed627a13
hex75973c91910

8080776042768 has 640 divisors, whose sum is σ = 29352041349120. Its totient is φ = 2092324608000.

The previous prime is 8080776042743. The next prime is 8080776042797. The reversal of 8080776042768 is 8672406770808.

8080776042768 is a `hidden beast` number, since 8 + 0 + 80 + 7 + 76 + 0 + 427 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43954558 + ... + 44138018.

It is an arithmetic number, because the mean of its divisors is an integer number (45862564608).

Almost surely, 28080776042768 is an apocalyptic number.

8080776042768 is a gapful number since it is divisible by the number (88) 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 8080776042768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14676020674560).

8080776042768 is an abundant number, since it is smaller than the sum of its proper divisors (21271265306352).

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

8080776042768 is a wasteful number, since it uses less digits than its factorization.

8080776042768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183556 (or 183544 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 8080776042768 in words is "eight trillion, eighty billion, seven hundred seventy-six million, forty-two thousand, seven hundred sixty-eight".