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4420735813368 = 2332721253043031
BaseRepresentation
bin100000001010100100001…
…1000110100011011111000
3120122121200200100112100200
41000111020120310123320
51034412131332011433
613222505154402200
7634246645262400
oct100251030643370
916577620315320
104420735813368
111454907133506
125b4927590360
13260b483acb14
14113d71405800
1579ed8018613
hex405486346f8

4420735813368 has 72 divisors (see below), whose sum is σ = 13927573300680. Its totient is φ = 1263067374240.

The previous prime is 4420735813343. The next prime is 4420735813379. The reversal of 4420735813368 is 8633185370244.

It is a happy number.

4420735813368 is a `hidden beast` number, since 4 + 4 + 20 + 7 + 3 + 581 + 3 + 36 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 626517988 + ... + 626525043.

It is an arithmetic number, because the mean of its divisors is an integer number (193438518065).

Almost surely, 24420735813368 is an apocalyptic number.

It is an amenable number.

4420735813368 is an abundant number, since it is smaller than the sum of its proper divisors (9506837487312).

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

4420735813368 is a wasteful number, since it uses less digits than its factorization.

4420735813368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253043057 (or 1253043043 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 4420735813368 in words is "four trillion, four hundred twenty billion, seven hundred thirty-five million, eight hundred thirteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 1253043031 2506086062 3759129093 5012172124 7518258186 8771301217 10024344248 11277387279 15036516372 17542602434 22554774558 26313903651 30073032744 35085204868 45109549116 52627807302 61399108519 70170409736 78941710953 90219098232 105255614604 122798217038 157883421906 184197325557 210511229208 245596434076 315766843812 368394651114 491192868152 552591976671 631533687624 736789302228 1105183953342 1473578604456 2210367906684 4420735813368