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4102311168 = 28321780517
BaseRepresentation
bin1111010010000100…
…0100110100000000
3101120220012222222200
43310201010310000
531400142424133
61515022433200
7203442032604
oct36441046400
911526188880
104102311168
11181571410a
12965a32800
13504b94177
142acb87504
15190234913
hexf4844d00

4102311168 has 54 divisors (see below), whose sum is σ = 11827981074. Its totient is φ = 1367436288.

The previous prime is 4102311167. The next prime is 4102311173. The reversal of 4102311168 is 8611132014.

It is a happy number.

4102311168 is a `hidden beast` number, since 410 + 231 + 1 + 16 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4100097024 + 2214144 = 64032^2 + 1488^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102311167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 887955 + ... + 892562.

Almost surely, 24102311168 is an apocalyptic number.

4102311168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4102311168 is an abundant number, since it is smaller than the sum of its proper divisors (7725669906).

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

4102311168 is a wasteful number, since it uses less digits than its factorization.

4102311168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780539 (or 1780522 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 4102311168 is about 64049.2870217928. The cubic root of 4102311168 is about 1600.8213449648.

The spelling of 4102311168 in words is "four billion, one hundred two million, three hundred eleven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 1780517 3561034 5341551 7122068 10683102 14244136 16024653 21366204 28488272 32049306 42732408 56976544 64098612 85464816 113953088 128197224 170929632 227906176 256394448 341859264 455812352 512788896 683718528 1025577792 1367437056 2051155584 4102311168