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134334772704 = 2534114711517
BaseRepresentation
bin111110100011011111…
…0011111010111100000
3110211202000120111220000
41331012332133113200
54200104200211304
6141413524220000
712463640504436
oct1750676372740
9424660514800
10134334772704
1151a75528010
122205053a600
13c88ac7a4b2
146705084d56
1537636b5939
hex1f46f9f5e0

134334772704 has 120 divisors (see below), whose sum is σ = 430990820568. Its totient is φ = 40707498240.

The previous prime is 134334772703. The next prime is 134334772717. The reversal of 134334772704 is 407277433431.

134334772704 is a `hidden beast` number, since 1 + 34 + 3 + 347 + 7 + 270 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 134334772704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134334772703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2327247 + ... + 2384270.

Almost surely, 2134334772704 is an apocalyptic number.

It is an amenable number.

134334772704 is an abundant number, since it is smaller than the sum of its proper divisors (296656047864).

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

134334772704 is a wasteful number, since it uses less digits than its factorization.

134334772704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4711550 (or 4711533 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 45.

The spelling of 134334772704 in words is "one hundred thirty-four billion, three hundred thirty-four million, seven hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4752 7128 9504 14256 28512 4711517 9423034 14134551 18846068 28269102 37692136 42403653 51826687 56538204 75384272 84807306 103653374 113076408 127210959 150768544 155480061 169614612 207306748 226152816 254421918 310960122 339229224 381632877 414613496 452305632 466440183 508843836 621920244 678458448 763265754 829226992 932880366 1017687672 1243840488 1356916896 1399320549 1526531508 1658453984 1865760732 2035375344 2487680976 2798641098 3053063016 3731521464 4070750688 4197961647 4975361952 5597282196 6106126032 7463042928 8395923294 11194564392 12212252064 14926085856 16791846588 22389128784 33583693176 44778257568 67167386352 134334772704