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4132417104 = 243228697341
BaseRepresentation
bin1111011001001111…
…1010111001010000
3101122222212112120100
43312103322321100
531430344321404
61522020012400
7204255652164
oct36623727120
911588775510
104132417104
111830707152
12973b31100
1350b1a542a
142b2b82ca4
15192bced39
hexf64fae50

4132417104 has 30 divisors (see below), whose sum is σ = 11565028826. Its totient is φ = 1377472320.

The previous prime is 4132417097. The next prime is 4132417109. The reversal of 4132417104 is 4017142314.

4132417104 is a `hidden beast` number, since 413 + 241 + 7 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4129347600 + 3069504 = 64260^2 + 1752^2 .

It is a super-2 number, since 2×41324171042 = 34153742242863493632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132417109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14348527 + ... + 14348814.

Almost surely, 24132417104 is an apocalyptic number.

It is an amenable number.

4132417104 is an abundant number, since it is smaller than the sum of its proper divisors (7432611722).

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

4132417104 is a wasteful number, since it uses less digits than its factorization.

4132417104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28697355 (or 28697346 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4132417104 is about 64283.8790366605. The cubic root of 4132417104 is about 1604.7278264422.

Adding to 4132417104 its reverse (4017142314), we get a palindrome (8149559418).

The spelling of 4132417104 in words is "four billion, one hundred thirty-two million, four hundred seventeen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 28697341 57394682 86092023 114789364 172184046 229578728 258276069 344368092 459157456 516552138 688736184 1033104276 1377472368 2066208552 4132417104