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20248288326 = 23272232833527
BaseRepresentation
bin10010110110111001…
…000101110001000110
31221021010201121210200
4102312321011301012
5312432030211301
613145115031330
71314525416400
oct226671056106
957233647720
1020248288326
1186506a3792
123b1113b546
131ba8c6b1c6
14da1277b70
157d7962c86
hex4b6e45c46

20248288326 has 144 divisors (see below), whose sum is σ = 53456143104. Its totient is φ = 5512576608.

The previous prime is 20248288309. The next prime is 20248288339. The reversal of 20248288326 is 62388284202.

20248288326 is a `hidden beast` number, since 2 + 0 + 2 + 48 + 288 + 326 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5739175 + ... + 5742701.

It is an arithmetic number, because the mean of its divisors is an integer number (371223216).

Almost surely, 220248288326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20248288326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26728071552).

20248288326 is an abundant number, since it is smaller than the sum of its proper divisors (33207854778).

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

20248288326 is a wasteful number, since it uses less digits than its factorization.

20248288326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3855 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 20248288326 in words is "twenty billion, two hundred forty-eight million, two hundred eighty-eight thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 98 126 138 147 161 207 283 294 322 414 441 483 566 849 882 966 1127 1449 1698 1981 2254 2547 2898 3381 3527 3962 5094 5943 6509 6762 7054 10143 10581 11886 13018 13867 17829 19527 20286 21162 24689 27734 31743 35658 39054 41601 45563 49378 58581 63486 74067 81121 83202 91126 117162 124803 136689 148134 162242 172823 222201 243363 249606 273378 318941 345646 410067 444402 486726 518469 567847 637882 730089 820134 956823 998141 1036938 1135694 1460178 1555407 1703541 1913646 1996282 2870469 2994423 3110814 3407082 3974929 5110623 5740938 5988846 6986987 7949858 8983269 10221246 11924787 13973974 17966538 20960961 22957243 23849574 35774361 41921922 45914486 48908909 62882883 68871729 71548722 97817818 125765766 137743458 146726727 160700701 206615187 293453454 321401402 413230374 440180181 482102103 880360362 964204206 1124904907 1446306309 2249809814 2892612618 3374714721 6749429442 10124144163 20248288326