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2147447412 = 2232111719103163
BaseRepresentation
bin111111111111111…
…0111001001110100
312112122210122001100
41333333313021310
513344221304122
6553031130100
7104134000425
oct17777671164
95478718040
102147447412
11a021a6030
124bb213930
13282b91456
141652bb64c
15c87daaac
hex7fff7274

2147447412 has 288 divisors, whose sum is σ = 6705054720. Its totient is φ = 571069440.

The previous prime is 2147447411. The next prime is 2147447453.

2147447412 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21474474122 = 9223060774610995488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2147447411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13174443 + ... + 13174605.

It is an arithmetic number, because the mean of its divisors is an integer number (23281440).

Almost surely, 22147447412 is an apocalyptic number.

2147447412 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 2147447412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352527360).

2147447412 is an abundant number, since it is smaller than the sum of its proper divisors (4557607308).

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

2147447412 is a wasteful number, since it uses less digits than its factorization.

2147447412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 318 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 2147447412 is about 46340.5590384924. The cubic root of 2147447412 is about 1290.1518984643.

It can be divided in two parts, 21474 and 47412, that added together give a palindrome (68886).

The spelling of 2147447412 in words is "two billion, one hundred forty-seven million, four hundred forty-seven thousand, four hundred twelve".