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1972608912 = 243213698673
BaseRepresentation
bin111010110010011…
…1001111110010000
312002110210220201100
41311210321332100
513014441441122
6523423504400
766611620251
oct16544717620
95073726640
101972608912
119225392aa
12470758100
132558a6a11
14149da8b28
15b82a1aac
hex75939f90

1972608912 has 30 divisors (see below), whose sum is σ = 5520565622. Its totient is φ = 657536256.

The previous prime is 1972608863. The next prime is 1972608917. The reversal of 1972608912 is 2198062791.

It can be written as a sum of positive squares in only one way, i.e., 1103302656 + 869306256 = 33216^2 + 29484^2 .

It is not an unprimeable number, because it can be changed into a prime (1972608917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6849193 + ... + 6849480.

Almost surely, 21972608912 is an apocalyptic number.

1972608912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1972608912 is an abundant number, since it is smaller than the sum of its proper divisors (3547956710).

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

1972608912 is a wasteful number, since it uses less digits than its factorization.

1972608912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13698687 (or 13698678 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1972608912 is about 44414.0620974934. The cubic root of 1972608912 is about 1254.1428223431.

The spelling of 1972608912 in words is "one billion, nine hundred seventy-two million, six hundred eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 13698673 27397346 41096019 54794692 82192038 109589384 123288057 164384076 219178768 246576114 328768152 493152228 657536304 986304456 1972608912