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21868229568 = 2631272833169
BaseRepresentation
bin10100010111011100…
…101011001111000000
32002110000221011102110
4110113130223033000
5324241231321233
614013544015320
71402625612223
oct242734531700
962400834373
1021868229568
1193020555a9
1242a3761540
1320a6766713
1410b647d5ba
1587eca0663
hex51772b3c0

21868229568 has 112 divisors (see below), whose sum is σ = 58539806720. Its totient is φ = 7204184064.

The previous prime is 21868229567. The next prime is 21868229611. The reversal of 21868229568 is 86592286812.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21868229563) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6899088 + ... + 6902256.

Almost surely, 221868229568 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 21868229568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29269903360).

21868229568 is an abundant number, since it is smaller than the sum of its proper divisors (36671577152).

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

21868229568 is a wasteful number, since it uses less digits than its factorization.

21868229568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 3584 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 57.

The spelling of 21868229568 in words is "twenty-one billion, eight hundred sixty-eight million, two hundred twenty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 283 381 508 566 762 849 1016 1132 1524 1698 2032 2264 3048 3169 3396 4064 4528 6096 6338 6792 8128 9056 9507 12192 12676 13584 18112 19014 24384 25352 27168 35941 38028 50704 54336 71882 76056 101408 107823 143764 152112 202816 215646 287528 304224 402463 431292 575056 608448 804926 862584 896827 1150112 1207389 1609852 1725168 1793654 2300224 2414778 2690481 3219704 3450336 3587308 4829556 5380962 6439408 6900672 7174616 9659112 10761924 12878816 14349232 19318224 21523848 25757632 28698464 38636448 43047696 57396928 77272896 86095392 113897029 172190784 227794058 341691087 455588116 683382174 911176232 1366764348 1822352464 2733528696 3644704928 5467057392 7289409856 10934114784 21868229568