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2142686125 = 5389192601
BaseRepresentation
bin111111110110110…
…1100101110101101
312112022211201210101
41333231230232231
513342011424000
6552341111101
7104045350216
oct17755545655
95468751711
102142686125
119aa543888
124b96b8491
13281bb5218
141647dc40d
15c8199e6a
hex7fb6cbad

2142686125 has 16 divisors (see below), whose sum is σ = 2704132080. Its totient is φ = 1694880000.

The previous prime is 2142686123. The next prime is 2142686153. The reversal of 2142686125 is 5216862412.

It can be written as a sum of positive squares in 8 ways, for example, as 1492895044 + 649791081 = 38638^2 + 25491^2 .

It is not a de Polignac number, because 2142686125 - 21 = 2142686123 is a prime.

It is a super-2 number, since 2×21426861252 = 9182207660535031250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142686123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85176 + ... + 107425.

It is an arithmetic number, because the mean of its divisors is an integer number (169008255).

Almost surely, 22142686125 is an apocalyptic number.

2142686125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2142686125 is a deficient number, since it is larger than the sum of its proper divisors (561445955).

2142686125 is an equidigital number, since it uses as much as digits as its factorization.

2142686125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192705 (or 192695 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 2142686125 is about 46289.1577477923. The cubic root of 2142686125 is about 1289.1976913247.

The spelling of 2142686125 in words is "two billion, one hundred forty-two million, six hundred eighty-six thousand, one hundred twenty-five".

Divisors: 1 5 25 89 125 445 2225 11125 192601 963005 4815025 17141489 24075125 85707445 428537225 2142686125