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38080351148345 = 51117371100747251
BaseRepresentation
bin10001010100010010001011…
…10011011001100100111001
311222211110001010221102022122
420222021011303121210321
514442402024343221340
6212553512151131025
711010133413036242
oct1052110563314471
9158743033842278
1038080351148345
111115187151a310
124330288673a75
131832c66b33cac
1495915528dcc9
15460855e71db5
hex22a245cd9939

38080351148345 has 32 divisors (see below), whose sum is σ = 54209600666496. Its totient is φ = 25361216640000.

The previous prime is 38080351148341. The next prime is 38080351148363. The reversal of 38080351148345 is 54384115308083.

It is not a de Polignac number, because 38080351148345 - 22 = 38080351148341 is a prime.

It is a super-2 number, since 2×380803511483452 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (38080351148341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550339031 + ... + 550408220.

It is an arithmetic number, because the mean of its divisors is an integer number (1694050020828).

Almost surely, 238080351148345 is an apocalyptic number.

It is an amenable number.

38080351148345 is a deficient number, since it is larger than the sum of its proper divisors (16129249518151).

38080351148345 is a wasteful number, since it uses less digits than its factorization.

38080351148345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100747321.

The product of its (nonzero) digits is 5529600, while the sum is 53.

The spelling of 38080351148345 in words is "thirty-eight trillion, eighty billion, three hundred fifty-one million, one hundred forty-eight thousand, three hundred forty-five".

Divisors: 1 5 11 17 37 55 85 185 187 407 629 935 2035 3145 6919 34595 1100747251 5503736255 12108219761 18712703267 40727648287 60541098805 93563516335 203638241435 205839735937 448004131157 692370020879 1029198679685 2240020655785 3461850104395 7616070229669 38080351148345