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204348258752 = 26114113675179
BaseRepresentation
bin1011111001010000011…
…0101111100111000000
3201112110101022010010212
42332110012233213000
511322001123240002
6233513140213252
720522640353141
oct2762406574700
9645411263125
10204348258752
11797332a0380
123372b99a228
1316368137351
149c677abac8
1554b008c352
hex2f941af9c0

204348258752 has 112 divisors (see below), whose sum is σ = 453576049920. Its totient is φ = 90536294400.

The previous prime is 204348258743. The next prime is 204348258773. The reversal of 204348258752 is 257852843402.

It is a happy number.

204348258752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2043482587524 (a number of 46 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 204348258752.

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 15 ways as a sum of consecutive naturals, for example, 39454499 + ... + 39459677.

It is an arithmetic number, because the mean of its divisors is an integer number (4049786160).

Almost surely, 2204348258752 is an apocalyptic number.

204348258752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204348258752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226788024960).

204348258752 is an abundant number, since it is smaller than the sum of its proper divisors (249227791168).

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

204348258752 is a wasteful number, since it uses less digits than its factorization.

204348258752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610 (or 6600 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 50.

The spelling of 204348258752 in words is "two hundred four billion, three hundred forty-eight million, two hundred fifty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 164 176 328 352 451 656 704 902 1312 1367 1804 2624 2734 3608 5179 5468 7216 10358 10936 14432 15037 20716 21872 28864 30074 41432 43744 56047 56969 60148 82864 87488 112094 113938 120296 165728 212339 224188 227876 240592 331456 424678 448376 455752 481184 616517 849356 896752 911504 962368 1233034 1698712 1793504 1823008 2335729 2466068 3397424 3587008 3646016 4671458 4932136 6794848 7079693 9342916 9864272 13589696 14159386 18685832 19728544 28318772 37371664 39457088 56637544 74743328 77876623 113275088 149486656 155753246 226550176 290267413 311506492 453100352 580534826 623012984 1161069652 1246025968 2322139304 2492051936 3192941543 4644278608 4984103872 6385883086 9288557216 12771766172 18577114432 25543532344 51087064688 102174129376 204348258752