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80144110368 = 25337195911821
BaseRepresentation
bin100101010100011110…
…1100001001100100000
321122212101021122021000
41022220331201030200
52303113343012433
6100452342232000
75535021461310
oct1125075411440
9248771248230
1080144110368
1130a97296363
1213648125600
137732c5101a
143c43d6d440
152140e88113
hex12a8f61320

80144110368 has 384 divisors, whose sum is σ = 285997824000. Its totient is φ = 21323658240.

The previous prime is 80144110367. The next prime is 80144110399. The reversal of 80144110368 is 86301144108.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (80144110367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6773898 + ... + 6785718.

It is an arithmetic number, because the mean of its divisors is an integer number (744786000).

Almost surely, 280144110368 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 80144110368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142998912000).

80144110368 is an abundant number, since it is smaller than the sum of its proper divisors (205853713632).

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

80144110368 is a wasteful number, since it uses less digits than its factorization.

80144110368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11925 (or 11911 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 80144110368 in words is "eighty billion, one hundred forty-four million, one hundred ten thousand, three hundred sixty-eight".