Search a number
-
+
133020345032432 = 241113237120869569
BaseRepresentation
bin11110001111101100110110…
…011010011101111011110000
3122102222121202120001021222122
4132033230312122131323300
5114413401131312014212
61150524411454053412
740006255103660114
oct3617546632357360
9572877676037878
10133020345032432
113942567aa349a0
1212b042984aa268
13592b9c30c6b00
1424bc30d113744
15105a26eeb0272
hex78fb3669def0

133020345032432 has 120 divisors (see below), whose sum is σ = 312676040198160. Its totient is φ = 54304279511040.

The previous prime is 133020345032413. The next prime is 133020345032447. The reversal of 133020345032432 is 234230543020331.

It is a junction number, because it is equal to n+sod(n) for n = 133020345032392 and 133020345032401.

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 23 ways as a sum of consecutive naturals, for example, 59334257 + ... + 61535312.

It is an arithmetic number, because the mean of its divisors is an integer number (2605633668318).

Almost surely, 2133020345032432 is an apocalyptic number.

It is an amenable number.

133020345032432 is an abundant number, since it is smaller than the sum of its proper divisors (179655695165728).

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

133020345032432 is a wasteful number, since it uses less digits than its factorization.

133020345032432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120869651 (or 120869632 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 35.

Adding to 133020345032432 its reverse (234230543020331), we get a palindrome (367250888052763).

The spelling of 133020345032432 in words is "one hundred thirty-three trillion, twenty billion, three hundred forty-five million, thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 37 44 52 74 88 104 143 148 169 176 208 286 296 338 407 481 572 592 676 814 962 1144 1352 1628 1859 1924 2288 2704 3256 3718 3848 5291 6253 6512 7436 7696 10582 12506 14872 21164 25012 29744 42328 50024 68783 84656 100048 137566 275132 550264 1100528 120869569 241739138 483478276 966956552 1329565259 1571304397 1933913104 2659130518 3142608794 4472174053 5318261036 6285217588 8944348106 10636522072 12570435176 17284348367 17888696212 20426957161 21273044144 25140870352 34568696734 35777392424 40853914322 49193914583 58138262689 69137393468 71554784848 81707828644 98387829166 116276525378 138274786936 163415657288 196775658332 224696528771 232553050756 276549573872 326831314576 393551316664 449393057542 465106101512 639520889579 755797414957 787102633328 898786115084 930212203024 1279041779158 1511594829914 1797572230168 2558083558316 3023189659828 3595144460336 5116167116632 6046379319656 8313771564527 10232334233264 12092758639312 16627543129054 33255086258108 66510172516216 133020345032432