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1148258131047 = 32732576800503
BaseRepresentation
bin10000101101011001100…
…001001001110001100111
311001202212002020211100200
4100231121201021301213
5122303113040143142
62235300312441543
7145646623034106
oct20553141116147
94052762224320
101148258131047
11402a78864125
121666593a92b3
13843849cc2c1
143d80c73403d
151ed0747164c
hex10b59849c67

1148258131047 has 24 divisors (see below), whose sum is σ = 1687857890784. Its totient is φ = 752081117184.

The previous prime is 1148258131021. The next prime is 1148258131049. The reversal of 1148258131047 is 7401318528411.

1148258131047 is a `hidden beast` number, since 1 + 1 + 48 + 258 + 1 + 310 + 47 = 666.

It is a de Polignac number, because none of the positive numbers 2k-1148258131047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1148258130993 and 1148258131011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148258131049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3231403 + ... + 3569100.

It is an arithmetic number, because the mean of its divisors is an integer number (70327412116).

Almost surely, 21148258131047 is an apocalyptic number.

1148258131047 is a deficient number, since it is larger than the sum of its proper divisors (539599759737).

1148258131047 is a wasteful number, since it uses less digits than its factorization.

1148258131047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6800839 (or 6800836 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 1148258131047 in words is "one trillion, one hundred forty-eight billion, two hundred fifty-eight million, one hundred thirty-one thousand, forty-seven".

Divisors: 1 3 9 73 219 257 657 771 2313 18761 56283 168849 6800503 20401509 61204527 496436719 1489310157 1747729271 4467930471 5243187813 15729563439 127584236783 382752710349 1148258131047