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145919367369 = 32112914360729
BaseRepresentation
bin1000011111100101111…
…0001101100011001001
3111221122101000220020200
42013321132031203021
54342320324223434
6151011234242413
713354006105056
oct2077136154311
9457571026220
10145919367369
115697a751496
1224344126409
13109b6038739
1470c384c02d
153be072d199
hex21f978d8c9

145919367369 has 12 divisors (see below), whose sum is σ = 210959123700. Its totient is φ = 97193407104.

The previous prime is 145919367359. The next prime is 145919367379. The reversal of 145919367369 is 963763919541.

145919367369 is a `hidden beast` number, since 1 + 4 + 591 + 9 + 3 + 6 + 7 + 36 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (145919367359) and next prime (145919367379).

It can be written as a sum of positive squares in 2 ways, for example, as 65553921225 + 80365446144 = 256035^2 + 283488^2 .

It is not a de Polignac number, because 145919367369 - 24 = 145919367353 is a prime.

It is a super-2 number, since 2×1459193673692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145919367359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7170204 + ... + 7190525.

It is an arithmetic number, because the mean of its divisors is an integer number (17579926975).

Almost surely, 2145919367369 is an apocalyptic number.

It is an amenable number.

145919367369 is a deficient number, since it is larger than the sum of its proper divisors (65039756331).

145919367369 is a wasteful number, since it uses less digits than its factorization.

145919367369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14361864 (or 14361861 counting only the distinct ones).

The product of its digits is 33067440, while the sum is 63.

The spelling of 145919367369 in words is "one hundred forty-five billion, nine hundred nineteen million, three hundred sixty-seven thousand, three hundred sixty-nine".

Divisors: 1 3 9 1129 3387 10161 14360729 43082187 129246561 16213263041 48639789123 145919367369