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4163429952 = 2632112314147
BaseRepresentation
bin1111100000101000…
…1110011001000000
3101202011020011012100
43320022032121000
532011314224302
61525044430400
7205113366513
oct37012163100
911664204170
104163429952
111847169600
129823a8400
13514743426
142b6d36d7a
151957a8d1c
hexf828e640

4163429952 has 504 divisors, whose sum is σ = 14165738496. Its totient is φ = 1165824000.

The previous prime is 4163429947. The next prime is 4163429957. The reversal of 4163429952 is 2599243614.

4163429952 is a `hidden beast` number, since 4 + 1 + 634 + 2 + 9 + 9 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4163429947) and next prime (4163429957).

Its product of digits (466560) is a multiple of the sum of its prime divisors (135).

It is a junction number, because it is equal to n+sod(n) for n = 4163429898 and 4163429907.

It is not an unprimeable number, because it can be changed into a prime (4163429957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88583593 + ... + 88583639.

It is an arithmetic number, because the mean of its divisors is an integer number (28106624).

Almost surely, 24163429952 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 4163429952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7082869248).

4163429952 is an abundant number, since it is smaller than the sum of its proper divisors (10002308544).

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

4163429952 is a wasteful number, since it uses less digits than its factorization.

4163429952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 135 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 4163429952 is about 64524.6460819430. The cubic root of 4163429952 is about 1608.7321979183.

The spelling of 4163429952 in words is "four billion, one hundred sixty-three million, four hundred twenty-nine thousand, nine hundred fifty-two".