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4148523684 = 2232115236769
BaseRepresentation
bin1111011101000101…
…0111001010100100
3101201010011211122100
43313101113022210
531444010224214
61523353132100
7204542604144
oct36721271244
911633154570
104148523684
111839808278
129793ba030
13511624656
142b4d76924
15194312309
hexf74572a4

4148523684 has 18 divisors (see below), whose sum is σ = 10486546070. Its totient is φ = 1382841216.

The previous prime is 4148523683. The next prime is 4148523697. The reversal of 4148523684 is 4863258414.

4148523684 is a `hidden beast` number, since 4 + 1 + 48 + 523 + 6 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3390732900 + 757790784 = 58230^2 + 27528^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 (4148523683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57618349 + ... + 57618420.

Almost surely, 24148523684 is an apocalyptic number.

It is an amenable number.

4148523684 is an abundant number, since it is smaller than the sum of its proper divisors (6338022386).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4148523684 is a wasteful number, since it uses less digits than its factorization.

4148523684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115236779 (or 115236774 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 4148523684 is about 64409.0341799968. The cubic root of 4148523684 is about 1606.8099952100.

The spelling of 4148523684 in words is "four billion, one hundred forty-eight million, five hundred twenty-three thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 115236769 230473538 345710307 460947076 691420614 1037130921 1382841228 2074261842 4148523684