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11280620808 = 2332125172
BaseRepresentation
bin10101000000110000…
…01001110100001000
31002010011110220121200
422200120021310020
5141100314331213
65103210504200
7546354460212
oct124030116410
932104426550
1011280620808
114869686416
122229a35060
1310aa0cb772
1479027b5b2
15460521273
hex2a0609d08

11280620808 has 36 divisors (see below), whose sum is σ = 30554122365. Its totient is φ = 3759906528.

The previous prime is 11280620807. The next prime is 11280620821. The reversal of 11280620808 is 80802608211.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11280620808 is a `hidden beast` number, since 1 + 1 + 28 + 0 + 620 + 8 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8353594404 + 2927026404 = 91398^2 + 54102^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=75102.

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 (11280620807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 894966 + ... + 907482.

Almost surely, 211280620808 is an apocalyptic number.

11280620808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11280620808 is an abundant number, since it is smaller than the sum of its proper divisors (19273501557).

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

11280620808 is an frugal number, since it uses more digits than its factorization.

11280620808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25046 (or 12522 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 11280620808 in words is "eleven billion, two hundred eighty million, six hundred twenty thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 12517 25034 37551 50068 75102 100136 112653 150204 225306 300408 450612 901224 156675289 313350578 470025867 626701156 940051734 1253402312 1410077601 1880103468 2820155202 3760206936 5640310404 11280620808