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427418673647617 = 101149244111635313
BaseRepresentation
bin110000100101111000010101…
…0001101101001000000000001
32002001100211022021000120000001
41201023300222031221000001
5422010311420423210432
64113013232240000001
7156012660116345011
oct14113605215510001
92061324267016001
10427418673647617
111142092725461a3
123bb30729000001
131546553c43c472
147779261d65c41
15346321967e9e7
hex184bc2a369001

427418673647617 has 16 divisors (see below), whose sum is σ = 434725582856400. Its totient is φ = 420174386944000.

The previous prime is 427418673647593. The next prime is 427418673647627. The reversal of 427418673647617 is 716746376814724.

It can be written as a sum of positive squares in 8 ways, for example, as 22549226896 + 427396124420721 = 150164^2 + 20673561^2 .

It is a cyclic number.

It is not a de Polignac number, because 427418673647617 - 231 = 427416526163969 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 427418673647617.

It is not an unprimeable number, because it can be changed into a prime (427418673647627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30916953 + ... + 42552265.

It is an arithmetic number, because the mean of its divisors is an integer number (27170348928525).

Almost surely, 2427418673647617 is an apocalyptic number.

It is an amenable number.

427418673647617 is a deficient number, since it is larger than the sum of its proper divisors (7306909208783).

427418673647617 is a wasteful number, since it uses less digits than its factorization.

427418673647617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11638004.

The product of its digits is 1593188352, while the sum is 73.

The spelling of 427418673647617 in words is "four hundred twenty-seven trillion, four hundred eighteen billion, six hundred seventy-three million, six hundred forty-seven thousand, six hundred seventeen".

Divisors: 1 101 149 2441 15049 246541 363709 11635313 36734609 1175166613 1733661637 28401799033 175099825337 2868581702333 4231868055917 427418673647617