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132633120412260 = 2232513123745821197
BaseRepresentation
bin11110001010000100001110…
…000001110001001001100100
3122101121121021012121110111200
4132022010032001301021210
5114341030112311143020
61150030451522402500
736636266240005326
oct3612041601611144
9571547235543450
10132633120412260
1139296432809546
1212a6122b800430
135901332462b20
1424a7697929616
151050159e49590
hex78a10e071264

132633120412260 has 144 divisors (see below), whose sum is σ = 433618460039856. Its totient is φ = 32621758995456.

The previous prime is 132633120412253. The next prime is 132633120412349. The reversal of 132633120412260 is 62214021336231.

132633120412260 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 331 + 20 + 41 + 2 + 260 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 49732568064 + 132583387844196 = 223008^2 + 11514486^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20016019 + ... + 25805178.

Almost surely, 2132633120412260 is an apocalyptic number.

132633120412260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132633120412260 is an abundant number, since it is smaller than the sum of its proper divisors (300985339627596).

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

132633120412260 is a wasteful number, since it uses less digits than its factorization.

132633120412260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45822462 (or 45822457 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 132633120412260 its reverse (62214021336231), we get a palindrome (194847141748491).

The spelling of 132633120412260 in words is "one hundred thirty-two trillion, six hundred thirty-three billion, one hundred twenty million, four hundred twelve thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 1237 2340 2474 3711 4948 6185 7422 11133 12370 14844 16081 18555 22266 24740 32162 37110 44532 48243 55665 64324 74220 80405 96486 111330 144729 160810 192972 222660 241215 289458 321620 482430 578916 723645 964860 1447290 2894580 45821197 91642394 137463591 183284788 229105985 274927182 412390773 458211970 549854364 595675561 687317955 824781546 916423940 1191351122 1374635910 1649563092 1787026683 2061953865 2382702244 2749271820 2978377805 3574053366 4123907730 5361080049 5956755610 7148106732 8247815460 8935133415 10722160098 11913511220 17870266830 21444320196 26805400245 35740533660 53610800490 56680820689 107221600980 113361641378 170042462067 226723282756 283404103445 340084924134 510127386201 566808206890 680169848268 736850668957 850212310335 1020254772402 1133616413780 1473701337914 1700424620670 2040509544804 2210552006871 2550636931005 2947402675828 3400849241340 3684253344785 4421104013742 5101273862010 6631656020613 7368506689570 8842208027484 10202547724020 11052760034355 13263312041226 14737013379140 22105520068710 26526624082452 33158280103065 44211040137420 66316560206130 132633120412260