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164760739407 = 321123891974127
BaseRepresentation
bin1001100101110010000…
…0010101111001001111
3120202021110101202201200
42121130200111321033
510144412222130112
6203405014240543
714621632114635
oct2313440257117
9522243352650
10164760739407
1163969162140
1227b22056153
13126c96760a4
147d8dcd3355
1544448d1cdc
hex265c815e4f

164760739407 has 96 divisors (see below), whose sum is σ = 275412234240. Its totient is φ = 93938127360.

The previous prime is 164760739393. The next prime is 164760739427. The reversal of 164760739407 is 704937067461.

164760739407 is a `hidden beast` number, since 16 + 476 + 0 + 73 + 94 + 0 + 7 = 666.

164760739407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164760739407 - 27 = 164760739279 is a prime.

It is a super-2 number, since 2×1647607394072 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164760739427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39920578 + ... + 39924704.

It is an arithmetic number, because the mean of its divisors is an integer number (2868877440).

Almost surely, 2164760739407 is an apocalyptic number.

164760739407 is a deficient number, since it is larger than the sum of its proper divisors (110651494833).

164760739407 is a wasteful number, since it uses less digits than its factorization.

164760739407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 164760739407 in words is "one hundred sixty-four billion, seven hundred sixty million, seven hundred thirty-nine thousand, four hundred seven".

Divisors: 1 3 9 11 23 33 69 89 99 197 207 253 267 591 759 801 979 1773 2047 2167 2277 2937 4127 4531 6141 6501 8811 12381 13593 17533 18423 19503 22517 37143 40779 45397 49841 52599 67551 94921 136191 149523 157797 192863 202653 284763 367303 403259 408573 448569 578589 813019 854289 1044131 1101909 1209777 1735767 2439057 3132393 3305727 3629331 4040333 4435849 7317171 8447969 8943209 9397179 12120999 13307547 18699437 25343907 26829627 36362997 39922641 56098311 72358691 76031721 80488881 92927659 168294933 205693807 217076073 278782977 617081421 651228219 795945601 836348931 1664249893 1851244263 2387836803 4992749679 7163510409 14978249037 18306748823 54920246469 164760739407