Search a number
-
+
1054112474817 = 3683137127163
BaseRepresentation
bin11110101011011011111…
…11111110011011000001
310201202211220120222000000
433111231333332123001
5114232310243143232
62124130320350213
7136104614125203
oct17255577763301
93652756528000
101054112474817
11377057014166
12150364175369
137853004a8cc
143903b008773
151c64719c27c
hexf56dffe6c1

1054112474817 has 56 divisors (see below), whose sum is σ = 1611175001184. Its totient is φ = 689201763264.

The previous prime is 1054112474777. The next prime is 1054112474827. The reversal of 1054112474817 is 7184742114501.

1054112474817 is a `hidden beast` number, since 1 + 0 + 5 + 41 + 124 + 7 + 481 + 7 = 666.

It is not a de Polignac number, because 1054112474817 - 211 = 1054112472769 is a prime.

It is a super-2 number, since 2×10541124748172 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1054112474827) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8225878 + ... + 8353040.

It is an arithmetic number, because the mean of its divisors is an integer number (28770982164).

Almost surely, 21054112474817 is an apocalyptic number.

It is an amenable number.

1054112474817 is a deficient number, since it is larger than the sum of its proper divisors (557062526367).

1054112474817 is an equidigital number, since it uses as much as digits as its factorization.

1054112474817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127401 (or 127386 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 1054112474817 in words is "one trillion, fifty-four billion, one hundred twelve million, four hundred seventy-four thousand, eight hundred seventeen".

Divisors: 1 3 9 27 81 83 137 243 249 411 729 747 1233 2241 3699 6723 11097 11371 20169 33291 34113 60507 99873 102339 127163 307017 381489 921051 1144467 2763153 3433401 8289459 10300203 10554529 17421331 30900609 31663587 52263993 92701827 94990761 156791979 284972283 470375937 854916849 1411127811 1445970473 2564750547 4233383433 4337911419 7694251641 12700150299 13013734257 39041202771 117123608313 351370824939 1054112474817