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132352235451360 = 2532591911274619
BaseRepresentation
bin11110000101111110100111…
…111110101011001111100000
3122100121202020212000000212200
4132011332213332223033200
5114321424334233420420
61145253435543053200
736610063530145641
oct3605764776531740
9570552225000780
10132352235451360
11391982a4551021
1212a168bba41200
1358b09ba87c852
142497c4d3496c8
151047bba99ab90
hex785fa7fab3e0

132352235451360 has 72 divisors (see below), whose sum is σ = 451652003482680. Its totient is φ = 35293929453312.

The previous prime is 132352235451239. The next prime is 132352235451433. The reversal of 132352235451360 is 63154532253231.

132352235451360 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 5 + 2 + 23 + 54 + 513 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1323522354513602 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45955635870 + ... + 45955638749.

It is an arithmetic number, because the mean of its divisors is an integer number (6272944492815).

Almost surely, 2132352235451360 is an apocalyptic number.

132352235451360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132352235451360 is an abundant number, since it is smaller than the sum of its proper divisors (319299768031320).

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

132352235451360 is a wasteful number, since it uses less digits than its factorization.

132352235451360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91911274640 (or 91911274629 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 132352235451360 in words is "one hundred thirty-two trillion, three hundred fifty-two billion, two hundred thirty-five million, four hundred fifty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 91911274619 183822549238 275733823857 367645098476 459556373095 551467647714 735290196952 827201471571 919112746190 1102935295428 1378669119285 1470580393904 1654402943142 1838225492380 2205870590856 2757338238570 2941160787808 3308805886284 3676450984760 4136007357855 4411741181712 5514676477140 6617611772568 7352901969520 8272014715710 8823482363424 11029352954280 13235223545136 14705803939040 16544029431420 22058705908560 26470447090272 33088058862840 44117411817120 66176117725680 132352235451360