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3152136192 = 211317103293
BaseRepresentation
bin1011101111100001…
…1100100000000000
322010200022002221220
42323320130200000
522423421324232
61240441115040
7141053500302
oct27370344000
98120262856
103152136192
111378331637
1273b788a80
133b308085a
1421c8c9972
15136ae642c
hexbbe1c800

3152136192 has 192 divisors, whose sum is σ = 9015027840. Its totient is φ = 975962112.

The previous prime is 3152136187. The next prime is 3152136259. The reversal of 3152136192 is 2916312513.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10757998 + ... + 10758290.

It is an arithmetic number, because the mean of its divisors is an integer number (46953270).

Almost surely, 23152136192 is an apocalyptic number.

3152136192 is a gapful number since it is divisible by the number (32) 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 3152136192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4507513920).

3152136192 is an abundant number, since it is smaller than the sum of its proper divisors (5862891648).

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

3152136192 is a wasteful number, since it uses less digits than its factorization.

3152136192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 418 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 3152136192 is about 56143.8882871502. Note that the first 3 decimals coincide. The cubic root of 3152136192 is about 1466.2285030887.

The spelling of 3152136192 in words is "three billion, one hundred fifty-two million, one hundred thirty-six thousand, one hundred ninety-two".