Search a number
-
+
20691842010 = 235741032789
BaseRepresentation
bin10011010001010101…
…000111001111011010
31222102001100111001220
4103101111013033122
5314334102421020
613301121552510
71331522520000
oct232125071732
958361314056
1020691842010
118859007184
1240157a5736
131c49b1b9c8
141004138a70
1581187b240
hex4d15473da

20691842010 has 160 divisors (see below), whose sum is σ = 58517147520. Its totient is φ = 4681966464.

The previous prime is 20691841957. The next prime is 20691842051. The reversal of 20691842010 is 1024819602.

20691842010 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7417696 + ... + 7420484.

It is an arithmetic number, because the mean of its divisors is an integer number (365732172).

Almost surely, 220691842010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20691842010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29258573760).

20691842010 is an abundant number, since it is smaller than the sum of its proper divisors (37825305510).

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

20691842010 is a wasteful number, since it uses less digits than its factorization.

20691842010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 20691842010 in words is "twenty billion, six hundred ninety-one million, eight hundred forty-two thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 103 105 147 206 210 245 294 309 343 490 515 618 686 721 735 1029 1030 1442 1470 1545 1715 2058 2163 2401 2789 3090 3430 3605 4326 4802 5047 5145 5578 7203 7210 8367 10094 10290 10815 12005 13945 14406 15141 16734 19523 21630 24010 25235 27890 30282 35329 36015 39046 41835 50470 58569 70658 72030 75705 83670 97615 105987 117138 136661 151410 176645 195230 211974 247303 273322 287267 292845 353290 409983 494606 529935 574534 585690 683305 741909 819966 861801 956627 1059870 1236515 1366610 1436335 1483818 1723602 1913254 2010869 2049915 2473030 2869881 2872670 3709545 4021738 4099830 4309005 4783135 5739762 6032607 6696389 7419090 8618010 9566270 10054345 12065214 13392778 14076083 14349405 20089167 20108690 28152166 28698810 30163035 33481945 40178334 42228249 60326070 66963890 70380415 84456498 98532581 100445835 140760830 197065162 200891670 211141245 295597743 422282490 492662905 591195486 689728067 985325810 1379456134 1477988715 2069184201 2955977430 3448640335 4138368402 6897280670 10345921005 20691842010