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80731207440 = 24335134170123
BaseRepresentation
bin100101100101111110…
…1000111011100010000
321201101022000021001000
41023023331013130100
52310314142114230
6101030513542000
75555410640502
oct1131375073420
9251338007030
1080731207440
1131268731054
1213790874900
1377c777c940
143c9bd17d72
1521777a7b60
hex12cbf47710

80731207440 has 320 divisors, whose sum is σ = 306772865280. Its totient is φ = 19387330560.

The previous prime is 80731207379. The next prime is 80731207451. The reversal of 80731207440 is 4470213708.

It is a happy number.

80731207440 is a `hidden beast` number, since 8 + 0 + 7 + 3 + 1 + 207 + 440 = 666.

It is a super-2 number, since 2×807312074402 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 80731207395 and 80731207404.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1116219 + ... + 1186341.

It is an arithmetic number, because the mean of its divisors is an integer number (958665204).

Almost surely, 280731207440 is an apocalyptic number.

80731207440 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 80731207440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153386432640).

80731207440 is an abundant number, since it is smaller than the sum of its proper divisors (226041657840).

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

80731207440 is a wasteful number, since it uses less digits than its factorization.

80731207440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70199 (or 70187 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 80731207440 in words is "eighty billion, seven hundred thirty-one million, two hundred seven thousand, four hundred forty".