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20981778168 = 23313293736217
BaseRepresentation
bin10011100010100111…
…001000011011111000
32000011020220202201010
4103202213020123320
5320432313400133
613350000153520
71341643112631
oct234247103370
960136822633
1020981778168
11899773753a
1240969088a0
131c94c04b70
14103084c888
1582c04d263
hex4e29c86f8

20981778168 has 128 divisors (see below), whose sum is σ = 58603406400. Its totient is φ = 6215602176.

The previous prime is 20981778163. The next prime is 20981778173. The reversal of 20981778168 is 86187718902.

It is an interprime number because it is at equal distance from previous prime (20981778163) and next prime (20981778173).

It is a super-2 number, since 2×209817781682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20981778161) 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 31 ways as a sum of consecutive naturals, for example, 3371796 + ... + 3378012.

Almost surely, 220981778168 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 20981778168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29301703200).

20981778168 is an abundant number, since it is smaller than the sum of its proper divisors (37621628232).

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

20981778168 is a wasteful number, since it uses less digits than its factorization.

20981778168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6641 (or 6637 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 57.

The spelling of 20981778168 in words is "twenty billion, nine hundred eighty-one million, seven hundred seventy-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 373 377 696 746 754 1119 1131 1492 1508 2238 2262 2984 3016 4476 4524 4849 6217 8952 9048 9698 10817 12434 14547 18651 19396 21634 24868 29094 32451 37302 38792 43268 49736 58188 64902 74604 80821 86536 116376 129804 140621 149208 161642 180293 242463 259608 281242 323284 360586 421863 484926 540879 562484 646568 721172 843726 969852 1081758 1124968 1442344 1687452 1939704 2163516 2318941 2343809 3374904 4327032 4637882 4687618 6956823 7031427 9275764 9375236 13913646 14062854 18551528 18750472 27827292 28125708 30146233 55654584 56251416 60292466 67249289 90438699 120584932 134498578 180877398 201747867 241169864 268997156 361754796 403495734 537994312 723509592 806991468 874240757 1613982936 1748481514 2622722271 3496963028 5245444542 6993926056 10490889084 20981778168