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132062467216 = 2447219332
BaseRepresentation
bin111101011111110001…
…0010101010010010000
3110121212122211102202111
41322333202111102100
54130430442422331
6140400232555104
712353426310211
oct1727742252220
9417778742674
10132062467216
1151009902299
1221717552a94
13c5b8280b34
14656b385408
15367de64db1
hex1ebf895490

132062467216 has 45 divisors (see below), whose sum is σ = 261566242041. Its totient is φ = 64592880576.

The previous prime is 132062467193. The next prime is 132062467217. The reversal of 132062467216 is 612764260231.

The square root of 132062467216 is 363404.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 89916019600 + 42146447616 = 299860^2 + 205296^2 .

It is a super-3 number, since 3×1320624672163 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132062467217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 68318986 + ... + 68320918.

Almost surely, 2132062467216 is an apocalyptic number.

132062467216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

132062467216 is the 363404-th square number.

It is an amenable number.

132062467216 is a deficient number, since it is larger than the sum of its proper divisors (129503774825).

132062467216 is an frugal number, since it uses more digits than its factorization.

132062467216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 132062467216 in words is "one hundred thirty-two billion, sixty-two million, four hundred sixty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 47 94 188 376 752 1933 2209 3866 4418 7732 8836 15464 17672 30928 35344 90851 181702 363404 726808 1453616 3736489 4269997 7472978 8539994 14945956 17079988 29891912 34159976 59783824 68319952 175614983 351229966 702459932 1404919864 2809839728 8253904201 16507808402 33015616804 66031233608 132062467216