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132220133263416 = 233111729460814007
BaseRepresentation
bin11110000100000011100110…
…000100110100100000111000
3122100011010021102102120112010
4132010003212010310200320
5114312243313103412131
61145113031330445520
736564406106112522
oct3604034604644070
9570133242376463
10132220133263416
1139147275289a90
12129b51931338a0
1358a13c7302333
1424916ba9c4a12
1510445382dbb46
hex7840e6134838

132220133263416 has 64 divisors (see below), whose sum is σ = 381812149543680. Its totient is φ = 37709841927680.

The previous prime is 132220133263403. The next prime is 132220133263499. The reversal of 132220133263416 is 614362331022231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14730402516 + ... + 14730411491.

It is an arithmetic number, because the mean of its divisors is an integer number (5965814836620).

Almost surely, 2132220133263416 is an apocalyptic number.

It is an amenable number.

132220133263416 is an abundant number, since it is smaller than the sum of its proper divisors (249592016280264).

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

132220133263416 is a wasteful number, since it uses less digits than its factorization.

132220133263416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29460814044 (or 29460814040 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

Adding to 132220133263416 its reverse (614362331022231), we get a palindrome (746582464285647).

The spelling of 132220133263416 in words is "one hundred thirty-two trillion, two hundred twenty billion, one hundred thirty-three million, two hundred sixty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 29460814007 58921628014 88382442021 117843256028 176764884042 235686512056 324068954077 353529768084 500833838119 648137908154 707059536168 972206862231 1001667676238 1296275816308 1502501514357 1944413724462 2003335352476 2592551632616 3005003028714 3888827448924 4006670704952 5509172219309 6010006057428 7777654897848 11018344438618 12020012114856 16527516657927 22036688877236 33055033315854 44073377754472 66110066631708 132220133263416