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3174991872 = 211313127313
BaseRepresentation
bin1011110100111110…
…1000100000000000
322012021022022001120
42331033220200000
523000244214442
61243015032240
7141451662033
oct27517504000
98167268046
103174991872
11138a222428
1274736b680
133b7a23a20
1422195901a
15138b0d4ec
hexbd3e8800

3174991872 has 192 divisors, whose sum is σ = 9216829440. Its totient is φ = 966131712.

The previous prime is 3174991861. The next prime is 3174991877. The reversal of 3174991872 is 2781994713.

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

It is not an unprimeable number, because it can be changed into a prime (3174991877) 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 15 ways as a sum of consecutive naturals, for example, 10143588 + ... + 10143900.

It is an arithmetic number, because the mean of its divisors is an integer number (48004320).

Almost surely, 23174991872 is an apocalyptic number.

3174991872 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 3174991872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608414720).

3174991872 is an abundant number, since it is smaller than the sum of its proper divisors (6041837568).

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

3174991872 is a wasteful number, since it uses less digits than its factorization.

3174991872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 458 counting only the distinct ones).

The product of its digits is 762048, while the sum is 51.

The square root of 3174991872 is about 56347.0662235400. The cubic root of 3174991872 is about 1469.7637752674.

The spelling of 3174991872 in words is "three billion, one hundred seventy-four million, nine hundred ninety-one thousand, eight hundred seventy-two".