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80355127248 = 2436116110267
BaseRepresentation
bin100101011010110001…
…0011110111111010000
321200102002100102000000
41022311202132333100
52304031403032443
6100525321130000
75543163212004
oct1126542367720
9250362312000
1080355127248
1131095413480
12136a6929900
137767894996
143c63dbc704
15215476b8d3
hex12b589efd0

80355127248 has 280 divisors, whose sum is σ = 258845519136. Its totient is φ = 23948524800.

The previous prime is 80355127243. The next prime is 80355127261. The reversal of 80355127248 is 84272155308.

80355127248 is a `hidden beast` number, since 80 + 35 + 512 + 7 + 24 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80355127243) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7821411 + ... + 7831677.

Almost surely, 280355127248 is an apocalyptic number.

80355127248 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 80355127248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129422759568).

80355127248 is an abundant number, since it is smaller than the sum of its proper divisors (178490391888).

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

80355127248 is a wasteful number, since it uses less digits than its factorization.

80355127248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10365 (or 10344 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 80355127248 in words is "eighty billion, three hundred fifty-five million, one hundred twenty-seven thousand, two hundred forty-eight".