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5349818334240 = 253253715151621
BaseRepresentation
bin100110111011001101000…
…0001010111110000100000
3200221102211001000202012200
41031312122001113300200
51200122411443143430
615213401141253200
71061340325353462
oct115663201276040
920842731022180
105349818334240
111782932a86716
127249b7404200
132ca641127753
14146d0b04a132
159426383d460
hex4dd9a057c20

5349818334240 has 72 divisors (see below), whose sum is σ = 18256255070508. Its totient is φ = 1426618222080.

The previous prime is 5349818334173. The next prime is 5349818334269. The reversal of 5349818334240 is 424338189435.

5349818334240 is a `hidden beast` number, since 5 + 3 + 498 + 1 + 83 + 34 + 2 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5187953733264 + 161864600976 = 2277708^2 + 402324^2 .

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1857574371 + ... + 1857577250.

Almost surely, 25349818334240 is an apocalyptic number.

It is an amenable number.

5349818334240 is an abundant number, since it is smaller than the sum of its proper divisors (12906436736268).

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

5349818334240 is a wasteful number, since it uses less digits than its factorization.

5349818334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715151642 (or 3715151631 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 5349818334240 in words is "five trillion, three hundred forty-nine billion, eight hundred eighteen million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 3715151621 7430303242 11145454863 14860606484 18575758105 22290909726 29721212968 33436364589 37151516210 44581819452 55727274315 59442425936 66872729178 74303032420 89163638904 111454548630 118884851872 133745458356 148606064840 167181822945 178327277808 222909097260 267490916712 297212129680 334363645890 356654555616 445818194520 534981833424 594424259360 668727291780 891636389040 1069963666848 1337454583560 1783272778080 2674909167120 5349818334240