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202114581328 = 241189105112277
BaseRepresentation
bin1011110000111011110…
…1111100001101010000
3201022200201020112202101
42330032331330031100
511302412313100303
6232503344530144
720413405411102
oct2741675741520
9638621215671
10202114581328
1178797459480
1233207920954
13160a0443c2a
149ad4c85572
1553cde1bd1d
hex2f0ef7c350

202114581328 has 80 divisors (see below), whose sum is σ = 432442946880. Its totient is φ = 90744192000.

The previous prime is 202114581197. The next prime is 202114581337. The reversal of 202114581328 is 823185411202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16456726 + ... + 16469002.

It is an arithmetic number, because the mean of its divisors is an integer number (5405536836).

Almost surely, 2202114581328 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 202114581328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216221473440).

202114581328 is an abundant number, since it is smaller than the sum of its proper divisors (230328365552).

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

202114581328 is a wasteful number, since it uses less digits than its factorization.

202114581328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13436 (or 13430 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The spelling of 202114581328 in words is "two hundred two billion, one hundred fourteen million, five hundred eighty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 89 176 178 356 712 979 1051 1424 1958 2102 3916 4204 7832 8408 11561 12277 15664 16816 23122 24554 46244 49108 92488 93539 98216 135047 184976 187078 196432 270094 374156 540188 748312 1028929 1080376 1092653 1496624 2057858 2160752 2185306 4115716 4370612 8231432 8741224 12019183 12903127 16462864 17482448 24038366 25806254 48076732 51612508 96153464 103225016 141934397 192306928 206450032 283868794 567737588 1135475176 1148378303 2270950352 2296756606 4593513212 9187026424 12632161333 18374052848 25264322666 50528645332 101057290664 202114581328