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80628805440 = 26325211277479
BaseRepresentation
bin100101100010111011…
…0011110111101000000
321201010011022200220100
41023011312132331000
52310111433233230
6101012415042400
75553025352421
oct1130566367500
9251104280810
1080628805440
11312159499a7
1213762510400
1377ac4a7a41
143c8c49d648
15216d7cb660
hex12c5d9ef40

80628805440 has 336 divisors, whose sum is σ = 280233607680. Its totient is φ = 21277347840.

The previous prime is 80628805429. The next prime is 80628805447. The reversal of 80628805440 is 4450882608.

80628805440 is a `hidden beast` number, since 8 + 0 + 6 + 28 + 80 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80628805447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168327121 + ... + 168327599.

Almost surely, 280628805440 is an apocalyptic number.

80628805440 is a gapful number since it is divisible by the number (80) 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 80628805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140116803840).

80628805440 is an abundant number, since it is smaller than the sum of its proper divisors (199604802240).

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

80628805440 is a wasteful number, since it uses less digits than its factorization.

80628805440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 80628805440 in words is "eighty billion, six hundred twenty-eight million, eight hundred five thousand, four hundred forty".