Search a number
-
+
133468133337 = 327112320294127
BaseRepresentation
bin111110001001101010…
…0100001011111011001
3110202111121211200011200
41330103110201133121
54141320320231322
6141151525144413
712433315262160
oct1742324413731
9422447750150
10133468133337
1151670311030
1221a4a25b109
13c780564636
146661d303d7
1537125788ac
hex1f135217d9

133468133337 has 96 divisors (see below), whose sum is σ = 250992967680. Its totient is φ = 66270821760.

The previous prime is 133468133303. The next prime is 133468133341. The reversal of 133468133337 is 733331864331.

It is not a de Polignac number, because 133468133337 - 224 = 133451356121 is a prime.

It is a super-3 number, since 3×1334681333373 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133468133292 and 133468133301.

It is not an unprimeable number, because it can be changed into a prime (133468133377) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32338168 + ... + 32342294.

It is an arithmetic number, because the mean of its divisors is an integer number (2614510080).

Almost surely, 2133468133337 is an apocalyptic number.

It is an amenable number.

133468133337 is a deficient number, since it is larger than the sum of its proper divisors (117524834343).

133468133337 is a wasteful number, since it uses less digits than its factorization.

133468133337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6203 (or 6200 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

Adding to 133468133337 its reverse (733331864331), we get a palindrome (866799997668).

The spelling of 133468133337 in words is "one hundred thirty-three billion, four hundred sixty-eight million, one hundred thirty-three thousand, three hundred thirty-seven".

Divisors: 1 3 7 9 11 21 23 33 63 69 77 99 161 207 231 253 483 693 759 1449 1771 2029 2277 4127 5313 6087 12381 14203 15939 18261 22319 28889 37143 42609 45397 46667 66957 86667 94921 127827 136191 140001 156233 200871 260001 284763 317779 326669 408573 420003 468699 513337 664447 854289 953337 980007 1044131 1406097 1540011 1993341 2860011 2940021 3132393 3593359 4620033 5980023 7308917 8373683 9397179 10780077 21926751 25121049 32340231 58615781 65780253 75363147 92110513 175847343 192594709 276331539 527542029 577784127 644773591 828994617 1348162963 1733352381 1934320773 2118541799 4044488889 5802962319 6355625397 12133466667 14829792593 19066876191 44489377779 133468133337