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127995070500 = 223253112235069
BaseRepresentation
bin111011100110100011…
…0011100100000100100
3110020101012022021101200
41313031012130200210
54044113214224000
6134444454322500
712150560101563
oct1671506344044
9406335267350
10127995070500
114a311975a00
1220981359430
13c0ba6c280b
1462a30c9bda
1534e1d2a500
hex1dcd19c824

127995070500 has 216 divisors, whose sum is σ = 443828144760. Its totient is φ = 31028976000.

The previous prime is 127995070499. The next prime is 127995070523. The reversal of 127995070500 is 5070599721.

127995070500 is a `hidden beast` number, since 1 + 2 + 7 + 99 + 50 + 7 + 0 + 500 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8982490176 + 119012580324 = 94776^2 + 344982^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 426966 + ... + 662034.

Almost surely, 2127995070500 is an apocalyptic number.

127995070500 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 127995070500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221914072380).

127995070500 is an abundant number, since it is smaller than the sum of its proper divisors (315833074260).

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

127995070500 is a wasteful number, since it uses less digits than its factorization.

127995070500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235116 (or 235090 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 45.

The spelling of 127995070500 in words is "one hundred twenty-seven billion, nine hundred ninety-five million, seventy thousand, five hundred".