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10080627840 = 273251992111
BaseRepresentation
bin10010110001101101…
…00010110010000000
3222000112110221201200
421120312202302000
5131121120042330
64344142501200
7504543631353
oct113066426200
928015427650
1010080627840
114303284998
121b53b94800
13c4860a55a
146b8b5029a
153deed7a60
hex258da2c80

10080627840 has 192 divisors, whose sum is σ = 36642153600. Its totient is φ = 2546657280.

The previous prime is 10080627803. The next prime is 10080627871. The reversal of 10080627840 is 4872608001.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 10080627795 and 10080627804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63385 + ... + 155495.

It is an arithmetic number, because the mean of its divisors is an integer number (190844550).

Almost surely, 210080627840 is an apocalyptic number.

10080627840 is a gapful number since it is divisible by the number (10) 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 10080627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18321076800).

10080627840 is an abundant number, since it is smaller than the sum of its proper divisors (26561525760).

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

10080627840 is a wasteful number, since it uses less digits than its factorization.

10080627840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92155 (or 92140 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 10080627840 in words is "ten billion, eighty million, six hundred twenty-seven thousand, eight hundred forty".