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536233485645 = 325111326410059
BaseRepresentation
bin1111100110110100000…
…00011010010101001101
31220021010000220111101100
413303122000122111031
532241201233020040
61050201532333313
753512236264624
oct7633200322515
91807100814340
10536233485645
11197462906560
1287b13614239
133b749a8b600
141bd4d4986bb
15de36b15b30
hex7cda01a54d

536233485645 has 72 divisors (see below), whose sum is σ = 1097966357280. Its totient is φ = 239992571520.

The previous prime is 536233485637. The next prime is 536233485731. The reversal of 536233485645 is 546584332635.

536233485645 is a `hidden beast` number, since 5 + 3 + 6 + 2 + 33 + 48 + 564 + 5 = 666.

It is not a de Polignac number, because 536233485645 - 23 = 536233485637 is a prime.

It is a super-3 number, since 3×5362334856453 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 536233485591 and 536233485600.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 3121375 + ... + 3288684.

It is an arithmetic number, because the mean of its divisors is an integer number (15249532740).

Almost surely, 2536233485645 is an apocalyptic number.

536233485645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

536233485645 is an abundant number, since it is smaller than the sum of its proper divisors (561732871635).

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

536233485645 is a wasteful number, since it uses less digits than its factorization.

536233485645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6410107 (or 6410091 counting only the distinct ones).

The product of its digits is 31104000, while the sum is 54.

The spelling of 536233485645 in words is "five hundred thirty-six billion, two hundred thirty-three million, four hundred eighty-five thousand, six hundred forty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 169 195 429 495 507 585 715 845 1287 1521 1859 2145 2535 5577 6435 7605 9295 16731 27885 83655 6410059 19230177 32050295 57690531 70510649 83330767 96150885 211531947 249992301 288452655 352553245 416653835 634595841 749976903 916638437 1057659735 1083299971 1249961505 2749915311 3172979205 3249899913 3749884515 4583192185 5416499855 8249745933 9749699739 11916299681 13749576555 16249499565 35748899043 41248729665 48748498695 59581498405 107246697129 178744495215 536233485645