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2147705472 = 273112172719
BaseRepresentation
bin1000000000000011…
…0110001010000000
312112200021202001010
42000000312022000
513344303033342
6553040440520
7104136123663
oct20000661200
95480252033
102147705472
11a02361a00
124bb319140
13282c51a53
141653476da
15c883c29c
hex80036280

2147705472 has 192 divisors, whose sum is σ = 6641913600. Its totient is φ = 612311040.

The previous prime is 2147705437. The next prime is 2147705473. The reversal of 2147705472 is 2745077412.

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

It is a super-2 number, since 2×21477054722 = 9225277588917485568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2147705472.

It is not an unprimeable number, because it can be changed into a prime (2147705473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 788529 + ... + 791247.

It is an arithmetic number, because the mean of its divisors is an integer number (34593300).

Almost surely, 22147705472 is an apocalyptic number.

2147705472 is a gapful number since it is divisible by the number (22) 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 2147705472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320956800).

2147705472 is an abundant number, since it is smaller than the sum of its proper divisors (4494208128).

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

2147705472 is a wasteful number, since it uses less digits than its factorization.

2147705472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 39.

The square root of 2147705472 is about 46343.3433407647. The cubic root of 2147705472 is about 1290.2035758281.

The spelling of 2147705472 in words is "two billion, one hundred forty-seven million, seven hundred five thousand, four hundred seventy-two".