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132104625444 = 223211255072
BaseRepresentation
bin111101100001000001…
…1001001110100100100
3110121222121011021222100
41323002003021310210
54131022241003234
6140404340332100
712354450534411
oct1730203116444
9417877137870
10132104625444
1151030687400
12217296a4030
13c5c3c21b2c
146572bdb108
1536829e1399
hex1ec20c9d24

132104625444 has 81 divisors (see below), whose sum is σ = 367114937371. Its totient is φ = 40024435440.

The previous prime is 132104625439. The next prime is 132104625479. The reversal of 132104625444 is 444526401231.

The square root of 132104625444 is 363462.

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

132104625444 is a `hidden beast` number, since 1 + 3 + 2 + 104 + 6 + 2 + 544 + 4 = 666.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132104625399 and 132104625408.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23985739 + ... + 23991245.

Almost surely, 2132104625444 is an apocalyptic number.

132104625444 is the 363462-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132104625444

132104625444 is an abundant number, since it is smaller than the sum of its proper divisors (235010311927).

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

132104625444 is an equidigital number, since it uses as much as digits as its factorization.

132104625444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11046 (or 5523 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Multiplying 132104625444 by its sum of digits (36), we get a square (4755766515984 = 21807722).

132104625444 divided by its sum of digits (36) gives a square (3669572929 = 605772).

The spelling of 132104625444 in words is "one hundred thirty-two billion, one hundred four million, six hundred twenty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 5507 11014 16521 22028 33042 49563 60577 66084 99126 121154 181731 198252 242308 363462 545193 666347 726924 1090386 1332694 1999041 2180772 2665388 3998082 5997123 7996164 11994246 23988492 30327049 60654098 90981147 121308196 181962294 272943441 333597539 363924588 545886882 667195078 1000792617 1091773764 1334390156 2001585234 3002377851 3669572929 4003170468 6004755702 7339145858 11008718787 12009511404 14678291716 22017437574 33026156361 44034875148 66052312722 132104625444