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80887104144 = 24347112312377
BaseRepresentation
bin100101101010100111…
…1110100001010010000
321201210011100122010000
41023111033310022100
52311124044313034
6101054203210000
75562313020030
oct1132517641220
9251704318100
1080887104144
1131338730600
1213814b16900
137820b64802
143cb48d98c0
1521862ee599
hex12d53f4290

80887104144 has 600 divisors, whose sum is σ = 303704006144. Its totient is φ = 20323353600.

The previous prime is 80887104143. The next prime is 80887104157. The reversal of 80887104144 is 44140178808.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 80887104144.

It is not an unprimeable number, because it can be changed into a prime (80887104143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34027884 + ... + 34030260.

Almost surely, 280887104144 is an apocalyptic number.

80887104144 is a gapful number since it is divisible by the number (84) 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 80887104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151852003072).

80887104144 is an abundant number, since it is smaller than the sum of its proper divisors (222816902000).

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

80887104144 is a wasteful number, since it uses less digits than its factorization.

80887104144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 80887104144 in words is "eighty billion, eight hundred eighty-seven million, one hundred four thousand, one hundred forty-four".