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2168886456 = 2334111372221
BaseRepresentation
bin1000000101000110…
…1001010010111000
312121011010211220000
42001101221102320
513420213331311
6555114433000
7104514142062
oct20121512270
95534124800
102168886456
11a13309550
12506432760
13287459889
1416809c732
15ca623056
hex814694b8

2168886456 has 160 divisors (see below), whose sum is σ = 6678532080. Its totient is φ = 652147200.

The previous prime is 2168886443. The next prime is 2168886491. The reversal of 2168886456 is 6546888612.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 975426 + ... + 977646.

Almost surely, 22168886456 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 2168886456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339266040).

2168886456 is an abundant number, since it is smaller than the sum of its proper divisors (4509645624).

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

2168886456 is a wasteful number, since it uses less digits than its factorization.

2168886456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2374 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 2168886456 is about 46571.3050708266. The cubic root of 2168886456 is about 1294.4311004739.

The spelling of 2168886456 in words is "two billion, one hundred sixty-eight million, eight hundred eighty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 137 162 198 216 264 274 297 324 396 411 548 594 648 792 822 891 1096 1188 1233 1507 1644 1782 2221 2376 2466 3014 3288 3564 3699 4442 4521 4932 6028 6663 7128 7398 8884 9042 9864 11097 12056 13326 13563 14796 17768 18084 19989 22194 24431 26652 27126 29592 36168 39978 40689 44388 48862 53304 54252 59967 73293 79956 81378 88776 97724 108504 119934 122067 146586 159912 162756 179901 195448 219879 239868 244134 293172 304277 325512 359802 439758 479736 488268 586344 608554 659637 719604 879516 912831 976536 1217108 1319274 1439208 1759032 1825662 1978911 2434216 2638548 2738493 3347047 3651324 3957822 5277096 5476986 6694094 7302648 7915644 8215479 10041141 10953972 13388188 15831288 16430958 20082282 21907944 24646437 26776376 30123423 32861916 40164564 49292874 60246846 65723832 80329128 90370269 98585748 120493692 180740538 197171496 240987384 271110807 361481076 542221614 722962152 1084443228 2168886456