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1260103078080 = 2632571121372659
BaseRepresentation
bin10010010101100011111…
…111110001000011000000
311110110112202020211021100
4102111203333301003000
5131121142341444310
62402514450054400
7160016346302640
oct22254377610300
94413482224240
101260103078080
11446452378250
12184271b7a400
1391a9a4c5732
1444dbc970520
1522ba14eeec0
hex12563ff10c0

1260103078080 has 672 divisors, whose sum is σ = 5408276590080. Its totient is φ = 261618647040.

The previous prime is 1260103078063. The next prime is 1260103078081. The reversal of 1260103078080 is 808703010621.

1260103078080 is a `hidden beast` number, since 1 + 260 + 10 + 307 + 8 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-4 number, since 4×12601030780804 (a number of 50 digits) contains 4444 as substring.

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 (1260103078081) 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 95 ways as a sum of consecutive naturals, for example, 473899791 + ... + 473902449.

It is an arithmetic number, because the mean of its divisors is an integer number (8048030640).

Almost surely, 21260103078080 is an apocalyptic number.

1260103078080 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 1260103078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704138295040).

1260103078080 is an abundant number, since it is smaller than the sum of its proper divisors (4148173512000).

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

1260103078080 is a wasteful number, since it uses less digits than its factorization.

1260103078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4837 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1260103078080 in words is "one trillion, two hundred sixty billion, one hundred three million, seventy-eight thousand, eighty".