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5343535413520 = 2451711293480133
BaseRepresentation
bin100110111000010001110…
…0001111011100100010000
3200220211121011121022021021
41031300203201323210100
51200022030031213040
615210441500405224
71061025534411403
oct115604341734420
920824534538237
105343535413520
1117801a9487357
12723743246814
132c9b7c560a95
141468b2831d3a
1593ee6e6c24a
hex4dc2387b910

5343535413520 has 80 divisors (see below), whose sum is σ = 13166182154160. Its totient is φ = 2009901514752.

The previous prime is 5343535413511. The next prime is 5343535413529. The reversal of 5343535413520 is 253145353435.

It is an interprime number because it is at equal distance from previous prime (5343535413511) and next prime (5343535413529).

It can be written as a sum of positive squares in 8 ways, for example, as 88511010064 + 5255024403456 = 297508^2 + 2292384^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (5343535413529) 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 15 ways as a sum of consecutive naturals, for example, 204627 + ... + 3275506.

It is an arithmetic number, because the mean of its divisors is an integer number (164577276927).

Almost surely, 25343535413520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5343535413520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583091077080).

5343535413520 is an abundant number, since it is smaller than the sum of its proper divisors (7822646740640).

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

5343535413520 is a wasteful number, since it uses less digits than its factorization.

5343535413520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481292 (or 3481286 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 43.

The spelling of 5343535413520 in words is "five trillion, three hundred forty-three billion, five hundred thirty-five million, four hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1129 1360 2258 4516 5645 9032 11290 18064 19193 22580 38386 45160 76772 90320 95965 153544 191930 307088 383860 767720 1535440 3480133 6960266 13920532 17400665 27841064 34801330 55682128 59162261 69602660 118324522 139205320 236649044 278410640 295811305 473298088 591622610 946596176 1183245220 2366490440 3929070157 4732980880 7858140314 15716280628 19645350785 31432561256 39290701570 62865122512 66794192669 78581403140 133588385338 157162806280 267176770676 314325612560 333970963345 534353541352 667941926690 1068707082704 1335883853380 2671767706760 5343535413520