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127328554080 = 2532572131271093
BaseRepresentation
bin111011010010101011…
…1111000110001100000
3110011122202010201202100
41312211113320301200
54041232102212310
6134254404450400
712125214565200
oct1664527706140
9404582121670
10127328554080
1149aaa716292
12208160a9a00
13c0125a7bc0
14623c78a400
1534a356dec0
hex1da55f8c60

127328554080 has 864 divisors, whose sum is σ = 549117563904. Its totient is φ = 26629005312.

The previous prime is 127328554069. The next prime is 127328554117. The reversal of 127328554080 is 80455823721.

127328554080 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 28 + 5 + 540 + 80 = 666.

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 116494014 + ... + 116495106.

It is an arithmetic number, because the mean of its divisors is an integer number (635552736).

Almost surely, 2127328554080 is an apocalyptic number.

127328554080 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 127328554080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274558781952).

127328554080 is an abundant number, since it is smaller than the sum of its proper divisors (421789009824).

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

127328554080 is a wasteful number, since it uses less digits than its factorization.

127328554080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 127328554080 in words is "one hundred twenty-seven billion, three hundred twenty-eight million, five hundred fifty-four thousand, eighty".