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4956064393284 = 223433723672
BaseRepresentation
bin100100000011110110001…
…1101010010100001000100
3122112210110122112001110000
41020013230131102201010
51122200004441041114
614312441244001300
71021030616160234
oct110075435224104
918483418461400
104956064393284
111640945166994
12680627b30230
1329c47c847b44
14131c36627cc4
1588dba483e09
hex481ec752844

4956064393284 has 135 divisors (see below), whose sum is σ = 13030195231053. Its totient is φ = 1642631260032.

The previous prime is 4956064393261. The next prime is 4956064393297. The reversal of 4956064393284 is 4823934606594.

The square root of 4956064393284 is 2226222.

It is a perfect power (a square), and thus also a powerful number.

4956064393284 is a `hidden beast` number, since 4 + 9 + 560 + 6 + 4 + 39 + 32 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1336451602500 + 3619612790784 = 1156050^2 + 1902528^2 .

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 13504262469 + ... + 13504262835.

Almost surely, 24956064393284 is an apocalyptic number.

4956064393284 is the 2226222-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4956064393284

4956064393284 is an abundant number, since it is smaller than the sum of its proper divisors (8074130837769).

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

4956064393284 is an frugal number, since it uses more digits than its factorization.

4956064393284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 4956064393284 in words is "four trillion, nine hundred fifty-six billion, sixty-four million, three hundred ninety-three thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 337 367 674 734 1011 1101 1348 1468 2022 2202 3033 3303 4044 4404 6066 6606 9099 9909 12132 13212 18198 19818 27297 29727 36396 39636 54594 59454 109188 113569 118908 123679 134689 227138 247358 269378 340707 371037 404067 454276 494716 538756 681414 742074 808134 1022121 1113111 1212201 1362828 1484148 1616268 2044242 2226222 2424402 3066363 3339333 3636603 4088484 4452444 4848804 6132726 6678666 7273206 9199089 10017999 10909809 12265452 13357332 14546412 18398178 20035998 21819618 36796356 40071996 41679823 43639236 45390193 83359646 90780386 125039469 136170579 166719292 181560772 250078938 272341158 375118407 408511737 500157876 544682316 750236814 817023474 1125355221 1225535211 1500473628 1634046948 2250710442 2451070422 3376065663 3676605633 4501420884 4902140844 6752131326 7353211266 13504262652 14706422532 15296495041 30592990082 45889485123 61185980164 91778970246 137668455369 183557940492 275336910738 413005366107 550673821476 826010732214 1239016098321 1652021464428 2478032196642 4956064393284