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127425576960 = 21932511491
BaseRepresentation
bin111011010101100101…
…0000000000000000000
3110011220111201000010100
41312223022000000000
54041431421430320
6134312152202400
712130503350553
oct1665312000000
9404814630110
10127425576960
114a04a463a90
1220842699400
13c0297185a6
14624b60469a
1534abd36790
hex1dab280000

127425576960 has 480 divisors, whose sum is σ = 482881370400. Its totient is φ = 30828134400.

The previous prime is 127425576931. The next prime is 127425576989. The reversal of 127425576960 is 69675524721.

It is a happy number.

127425576960 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 2 + 5 + 576 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (127425576931) and next prime (127425576989).

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 127425576897 and 127425576906.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 259522315 + ... + 259522805.

It is an arithmetic number, because the mean of its divisors is an integer number (1006002855).

Almost surely, 2127425576960 is an apocalyptic number.

127425576960 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 127425576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241440685200).

127425576960 is an abundant number, since it is smaller than the sum of its proper divisors (355455793440).

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

127425576960 is an frugal number, since it uses more digits than its factorization.

127425576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 127425576960 in words is "one hundred twenty-seven billion, four hundred twenty-five million, five hundred seventy-six thousand, nine hundred sixty".