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84355866855348 = 223112927367805223
BaseRepresentation
bin10011001011100010100001…
…011110101000011110110100
3102001200100020101211001110220
4103023202201132220132310
542024041303403332343
6455224314504214340
723524340006361324
oct2313424136503664
9361610211731426
1084355866855348
1124973138761340
12956489516a3b0
13380b954b480ba
1416b8bba9d7284
159b4452a30183
hex4cb8a17a87b4

84355866855348 has 96 divisors (see below), whose sum is σ = 222136693954560. Its totient is φ = 24679989882240.

The previous prime is 84355866855343. The next prime is 84355866855419.

It is a happy number.

84355866855348 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×843558668553482 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84355866855343) 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 31 ways as a sum of consecutive naturals, for example, 104358265 + ... + 105163487.

It is an arithmetic number, because the mean of its divisors is an integer number (2313923895360).

Almost surely, 284355866855348 is an apocalyptic number.

It is an amenable number.

84355866855348 is an abundant number, since it is smaller than the sum of its proper divisors (137780827099212).

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

84355866855348 is a wasteful number, since it uses less digits than its factorization.

84355866855348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832637 (or 832635 counting only the distinct ones).

The product of its digits is 13271040000, while the sum is 78.

The spelling of 84355866855348 in words is "eighty-four trillion, three hundred fifty-five billion, eight hundred sixty-six million, eight hundred fifty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 27367 54734 82101 109468 164202 301037 328404 602074 793643 805223 903111 1204148 1587286 1610446 1806222 2380929 2415669 3174572 3220892 3612444 4761858 4831338 8730073 8857453 9523716 9662676 17460146 17714906 23351467 26190219 26572359 34920292 35429812 46702934 52380438 53144718 70054401 93405868 104760876 106289436 140108802 256866137 280217604 513732274 770598411 1027464548 1541196822 3082393644 22036537841 44073075682 66109613523 88146151364 132219227046 242401916251 264438454092 484803832502 639059597389 727205748753 969607665004 1278119194778 1454411497506 1917178792167 2556238389556 2908822995012 3834357584334 7029655571279 7668715168668 14059311142558 21088966713837 28118622285116 42177933427674 84355866855348