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126168833133 = 327411271392767
BaseRepresentation
bin111010110000000111…
…1111001110001101101
3110001122220220210200200
41311200033321301231
54031343210130013
6133543335544113
712054403246440
oct1654017716155
9401586823620
10126168833133
1149565020822
122055182b039
13bb892472a5
14616c743657
15343683ce73
hex1d603f9c6d

126168833133 has 96 divisors (see below), whose sum is σ = 216663982080. Its totient is φ = 69257099520.

The previous prime is 126168833107. The next prime is 126168833177. The reversal of 126168833133 is 331338861621.

126168833133 is a `hidden beast` number, since 12 + 616 + 8 + 8 + 3 + 3 + 13 + 3 = 666.

It is not a de Polignac number, because 126168833133 - 25 = 126168833101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126168833333) 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, 45596316 + ... + 45599082.

It is an arithmetic number, because the mean of its divisors is an integer number (2256916480).

Almost surely, 2126168833133 is an apocalyptic number.

It is an amenable number.

126168833133 is a deficient number, since it is larger than the sum of its proper divisors (90495148947).

126168833133 is a wasteful number, since it uses less digits than its factorization.

126168833133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3084 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 126168833133 in words is "one hundred twenty-six billion, one hundred sixty-eight million, eight hundred thirty-three thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 41 63 123 127 139 287 369 381 417 861 889 973 1143 1251 2583 2667 2767 2919 5207 5699 8001 8301 8757 15621 17097 17653 19369 24903 36449 39893 46863 51291 52959 58107 109347 113447 119679 123571 158877 174321 328041 340341 351409 359037 370713 384613 723773 794129 1021023 1054227 1112139 1153839 2171319 2382387 2459863 2692291 3162681 3461517 5066411 6513957 7147161 7379589 8076873 14407769 15199233 15769133 22138767 24230619 43223307 45597699 47307399 48845851 100854383 110383931 129669921 141922197 146537553 302563149 331151793 341920957 439612659 907689447 993455379 1025762871 2002679891 3077288613 6008039673 14018759237 18024119019 42056277711 126168833133