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145106367625 = 538955723417
BaseRepresentation
bin1000011100100100000…
…0110111010010001001
3111212112201020020021001
42013021000313102021
54334134212231000
6150354433015001
713324604526322
oct2071100672211
9455481206231
10145106367625
11565a284177a
12241579b4461
13108b67837bb
14704789b449
153b9418946a
hex21c9037489

145106367625 has 32 divisors (see below), whose sum is σ = 183464105760. Its totient is φ = 114569804800.

The previous prime is 145106367619. The next prime is 145106367631. The reversal of 145106367625 is 526763601541.

It is an interprime number because it is at equal distance from previous prime (145106367619) and next prime (145106367631).

It can be written as a sum of positive squares in 16 ways, for example, as 142831840761 + 2274526864 = 377931^2 + 47692^2 .

It is not a de Polignac number, because 145106367625 - 217 = 145106236553 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6184917 + ... + 6208333.

It is an arithmetic number, because the mean of its divisors is an integer number (5733253305).

Almost surely, 2145106367625 is an apocalyptic number.

It is an amenable number.

145106367625 is a deficient number, since it is larger than the sum of its proper divisors (38357738135).

145106367625 is an equidigital number, since it uses as much as digits as its factorization.

145106367625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24078 (or 24068 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 145106367625 in words is "one hundred forty-five billion, one hundred six million, three hundred sixty-seven thousand, six hundred twenty-five".

Divisors: 1 5 25 89 125 445 557 2225 2785 11125 13925 23417 49573 69625 117085 247865 585425 1239325 2084113 2927125 6196625 10420565 13043269 52102825 65216345 260514125 326081725 1160850941 1630408625 5804254705 29021273525 145106367625