Search a number
-
+
20782662508153 = 7135367732713251
BaseRepresentation
bin1001011100110110101110…
…01101110101111001111001
32201120210200111001101221201
410232123113031311321321
510211000343100230103
6112111231235534201
74243332515412310
oct456332715657171
981523614041851
1020782662508153
116692972201577
1223b799b75a361
13b79a483731a0
1451bc59b71277
1526091103851d
hex12e6d7375e79

20782662508153 has 128 divisors (see below), whose sum is σ = 26919801667584. Its totient is φ = 15612030720000.

The previous prime is 20782662508147. The next prime is 20782662508189. The reversal of 20782662508153 is 35180526628702.

It is not a de Polignac number, because 20782662508153 - 213 = 20782662499961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20782662508094 and 20782662508103.

It is not an unprimeable number, because it can be changed into a prime (20782662500153) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6392696778 + ... + 6392700028.

It is an arithmetic number, because the mean of its divisors is an integer number (210310950528).

Almost surely, 220782662508153 is an apocalyptic number.

It is an amenable number.

20782662508153 is a deficient number, since it is larger than the sum of its proper divisors (6137139159431).

20782662508153 is a wasteful number, since it uses less digits than its factorization.

20782662508153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3735.

The product of its (nonzero) digits is 9676800, while the sum is 55.

The spelling of 20782662508153 in words is "twenty trillion, seven hundred eighty-two billion, six hundred sixty-two million, five hundred eight thousand, one hundred fifty-three".

Divisors: 1 7 13 53 67 73 91 271 371 469 511 689 871 949 1897 3251 3523 3551 3869 4823 4891 6097 6643 14363 18157 19783 22757 24661 24857 27083 34237 42263 46163 50297 63583 100541 127099 138481 172303 186719 217817 236041 237323 257179 259223 295841 323141 352079 445081 881021 962321 1048499 1206121 1307033 1325461 1524719 1652287 1661261 1800253 1814561 2239939 2831621 3085199 3369899 6167147 6736247 7339493 9278227 11453273 11544301 12510173 12578119 13630487 15679573 15900641 17230993 19821347 21596393 23589293 46694113 59028407 64314533 70249433 80172911 80810107 87571211 88046833 95413409 111304487 120616951 150075913 163515547 206708333 326858791 413198849 450201731 491746031 607023469 767369291 836088929 842733973 913242629 1050531391 1144608829 1446958331 3128505571 3408670249 4249164283 4309073711 5371585037 5852622503 5899137811 6392698403 10955541649 21899538997 23860691743 30163515977 40670572423 44312713237 56017958243 76688791543 228380906683 284694006961 310188992659 392125707701 1598666346781 2968951786879 20782662508153