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1319259038641 = 37157227106049
BaseRepresentation
bin10011001100101001111…
…101110110001110110001
311200010020102121222120121
4103030221331312032301
5133103320303214031
62450020443410241
7164212316543155
oct23145175661661
94603212558517
101319259038641
11469549374a55
12193821223981
13975371206ab
1447bd12b3065
15244b4acc011
hex13329f763b1

1319259038641 has 8 divisors (see below), whose sum is σ = 1363544724200. Its totient is φ = 1275427565568.

The previous prime is 1319259038599. The next prime is 1319259038653. The reversal of 1319259038641 is 1468309529131.

It can be written as a sum of positive squares in 4 ways, for example, as 248323819041 + 1070935219600 = 498321^2 + 1034860^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1319259038641 - 29 = 1319259038129 is a prime.

It is a super-2 number, since 2×13192590386412 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1319259038341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113547216 + ... + 113558833.

It is an arithmetic number, because the mean of its divisors is an integer number (170443090525).

Almost surely, 21319259038641 is an apocalyptic number.

It is an amenable number.

1319259038641 is a deficient number, since it is larger than the sum of its proper divisors (44285685559).

1319259038641 is a wasteful number, since it uses less digits than its factorization.

1319259038641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227106243.

The product of its (nonzero) digits is 1399680, while the sum is 52.

The spelling of 1319259038641 in words is "one trillion, three hundred nineteen billion, two hundred fifty-nine million, thirty-eight thousand, six hundred forty-one".

Divisors: 1 37 157 5809 227106049 8402923813 35655649693 1319259038641