Search a number
-
+
133975315467 = 33719611933169
BaseRepresentation
bin111110011000110001…
…1010001010000001011
3110210210222012012021000
41330301203101100023
54143340140043332
6141314123550043
712452014251240
oct1746143212013
9423728165230
10133975315467
1151900633514
1221b7008b323
13c8316627c6
1466ad4355c7
153741d5eb7c
hex1f318d140b

133975315467 has 128 divisors (see below), whose sum is σ = 244024064000. Its totient is φ = 70946979840.

The previous prime is 133975315457. The next prime is 133975315471. The reversal of 133975315467 is 764513579331.

It is a happy number.

133975315467 is a `hidden beast` number, since 1 + 3 + 3 + 97 + 5 + 3 + 1 + 546 + 7 = 666.

It is not a de Polignac number, because 133975315467 - 219 = 133974791179 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133975315457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42275259 + ... + 42278427.

It is an arithmetic number, because the mean of its divisors is an integer number (1906438000).

Almost surely, 2133975315467 is an apocalyptic number.

133975315467 is a deficient number, since it is larger than the sum of its proper divisors (110048748533).

133975315467 is a wasteful number, since it uses less digits than its factorization.

133975315467 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3458 (or 3452 counting only the distinct ones).

The product of its digits is 7144200, while the sum is 54.

The spelling of 133975315467 in words is "one hundred thirty-three billion, nine hundred seventy-five million, three hundred fifteen thousand, four hundred sixty-seven".

Divisors: 1 3 7 9 19 21 27 57 61 63 133 171 183 189 193 399 427 513 549 579 1159 1197 1281 1351 1647 1737 3169 3477 3591 3667 3843 4053 5211 8113 9507 10431 11001 11529 11773 12159 22183 24339 25669 28521 31293 33003 35319 36477 60211 66549 73017 77007 82411 85563 99009 105957 180633 193309 199647 219051 223687 231021 247233 317871 421477 541899 579927 598941 611617 671061 693063 741699 1264431 1353163 1565809 1625697 1739781 1834851 2013183 2225097 3672871 3793293 4059489 4281319 4697427 5219343 5504553 6039549 11018613 11379879 11620723 12178467 12843957 14092281 16513659 25710097 33055839 34862169 36535401 37308637 38531871 42276843 77130291 81345061 99167517 104586507 111925911 115595613 231390873 244035183 261160459 313759521 335777733 694172619 708864103 732105549 783481377 1007333199 2126592309 2196316647 2350444131 4962048721 6379776927 7051332393 14886146163 19139330781 44658438489 133975315467