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4134534176 = 252922319979
BaseRepresentation
bin1111011001101111…
…1111110000100000
3101200010212002122102
43312123333300200
531431420043201
61522133225532
7204312650333
oct36633776040
911603762572
104134534176
1118319227a3
129747922a8
1350b766c36
142b317461a
15192e9c26b
hexf66ffc20

4134534176 has 48 divisors (see below), whose sum is σ = 8458732800. Its totient is φ = 1986931968.

The previous prime is 4134534163. The next prime is 4134534191. The reversal of 4134534176 is 6714354314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196955 + ... + 216933.

It is an arithmetic number, because the mean of its divisors is an integer number (176223600).

Almost surely, 24134534176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134534176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4229366400).

4134534176 is an abundant number, since it is smaller than the sum of its proper divisors (4324198624).

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

4134534176 is a wasteful number, since it uses less digits than its factorization.

4134534176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20241 (or 20233 counting only the distinct ones).

The product of its digits is 120960, while the sum is 38.

The square root of 4134534176 is about 64300.3435138569. The cubic root of 4134534176 is about 1605.0018181739.

The spelling of 4134534176 in words is "four billion, one hundred thirty-four million, five hundred thirty-four thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 116 223 232 446 464 892 928 1784 3568 6467 7136 12934 19979 25868 39958 51736 79916 103472 159832 206944 319664 579391 639328 1158782 2317564 4455317 4635128 8910634 9270256 17821268 18540512 35642536 71285072 129204193 142570144 258408386 516816772 1033633544 2067267088 4134534176