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132052441505320 = 235719149166589849
BaseRepresentation
bin11110000001100111011010…
…110111100001111000101000
3122022120002102200210122000201
4132001213122313201320220
5114302021400011132240
61144504015410241544
736546321413513560
oct3601473267417050
9568502380718021
10132052441505320
11390921426a2156
12129887935862b4
13588b65164797b
14248752d723da0
15103eec143ed9a
hex7819dade1e28

132052441505320 has 128 divisors (see below), whose sum is σ = 359834076000000. Its totient is φ = 42604354086912.

The previous prime is 132052441505191. The next prime is 132052441505323. The reversal of 132052441505320 is 23505144250231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 132052441505320.

It is not an unprimeable number, because it can be changed into a prime (132052441505323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82502245 + ... + 84087604.

It is an arithmetic number, because the mean of its divisors is an integer number (2811203718750).

Almost surely, 2132052441505320 is an apocalyptic number.

132052441505320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132052441505320 is an abundant number, since it is smaller than the sum of its proper divisors (227781634494680).

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

132052441505320 is a wasteful number, since it uses less digits than its factorization.

132052441505320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166590035 (or 166590031 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

Adding to 132052441505320 its reverse (23505144250231), we get a palindrome (155557585755551).

The spelling of 132052441505320 in words is "one hundred thirty-two trillion, fifty-two billion, four hundred forty-one million, five hundred five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 149 152 190 266 280 298 380 532 596 665 745 760 1043 1064 1192 1330 1490 2086 2660 2831 2980 4172 5215 5320 5662 5960 8344 10430 11324 14155 19817 20860 22648 28310 39634 41720 56620 79268 99085 113240 158536 198170 396340 792680 166589849 333179698 666359396 832949245 1166128943 1332718792 1665898490 2332257886 3165207131 3331796980 4664515772 5830644715 6330414262 6663593960 9329031544 11661289430 12660828524 15826035655 22156449917 23322578860 24821887501 25321657048 31652071310 44312899834 46645157720 49643775002 63304142620 88625799668 99287550004 110782249585 124109437505 126608285240 173753212507 177251599336 198575100008 221564499170 248218875010 347506425014 443128998340 471615862519 496437750020 695012850028 868766062535 886257996680 943231725038 992875500040 1390025700056 1737532125070 1886463450076 2358079312595 3301311037633 3475064250140 3772926900152 4716158625190 6602622075266 6950128500280 9432317250380 13205244150532 16506555188165 18864634500760 26410488301064 33013110376330 66026220752660 132052441505320