Search a number
-
+
133474428437280 = 2535739724532273
BaseRepresentation
bin11110010110010011101111…
…111001001100001100100000
3122111121000211102002021222220
4132112103233321030030200
5114443321112134443110
61151513150025231040
740054131523144230
oct3626235771141440
9574530742067886
10133474428437280
11395902071aa897
1212b782a4032480
13596277a479648
1424d62a806bcc0
151066e9999b370
hex7964efe4c320

133474428437280 has 96 divisors (see below), whose sum is σ = 480507942386304. Its totient is φ = 30508440784896.

The previous prime is 133474428437257. The next prime is 133474428437291. The reversal of 133474428437280 is 82734824474331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 19862262777 + ... + 19862269496.

It is an arithmetic number, because the mean of its divisors is an integer number (5005291066524).

Almost surely, 2133474428437280 is an apocalyptic number.

133474428437280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133474428437280 is an abundant number, since it is smaller than the sum of its proper divisors (347033513949024).

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

133474428437280 is a wasteful number, since it uses less digits than its factorization.

133474428437280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39724532298 (or 39724532290 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 60.

The spelling of 133474428437280 in words is "one hundred thirty-three trillion, four hundred seventy-four billion, four hundred twenty-eight million, four hundred thirty-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 39724532273 79449064546 119173596819 158898129092 198622661365 238347193638 278071725911 317796258184 397245322730 476694387276 556143451822 595867984095 635592516368 794490645460 834215177733 953388774552 1112286903644 1191735968190 1271185032736 1390358629555 1588981290920 1668430355466 1906777549104 2224573807288 2383471936380 2780717259110 3177962581840 3336860710932 3813555098208 4171075888665 4449147614576 4766943872760 5561434518220 6355925163680 6673721421864 8342151777330 8898295229152 9533887745520 11122869036440 13347442843728 16684303554660 19067775491040 22245738072880 26694885687456 33368607109320 44491476145760 66737214218640 133474428437280