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4074375168 = 211362729
BaseRepresentation
bin1111001011011010…
…0000100000000000
3101111221122201000000
43302312200200000
531321020001133
61512144000000
7202652421543
oct36266404000
911457581000
104074375168
111800973406
12958600000
134cc1627a6
142a919485a
1518ca67413
hexf2da0800

4074375168 has 168 divisors, whose sum is σ = 12219029550. Its totient is φ = 1357627392.

The previous prime is 4074375163. The next prime is 4074375169. The reversal of 4074375168 is 8615734704.

It can be written as a sum of positive squares in only one way, i.e., 2425365504 + 1649009664 = 49248^2 + 40608^2 .

It is not an unprimeable number, because it can be changed into a prime (4074375163) 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 13 ways as a sum of consecutive naturals, for example, 1491628 + ... + 1494356.

Almost surely, 24074375168 is an apocalyptic number.

4074375168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4074375168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109514775).

4074375168 is an abundant number, since it is smaller than the sum of its proper divisors (8144654382).

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

4074375168 is an frugal number, since it uses more digits than its factorization.

4074375168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 4074375168 is about 63830.8324244640. The cubic root of 4074375168 is about 1597.1792968600.

The spelling of 4074375168 in words is "four billion, seventy-four million, three hundred seventy-five thousand, one hundred sixty-eight".