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20744541135162 = 23213236416013151
BaseRepresentation
bin1001011011101111101110…
…00000010110000100111010
32201110011021201222000020100
410231313313000112010322
510204334310012311122
6112041524410340230
74240513032163215
oct455676700260472
981404251860210
1020744541135162
11667878a730839
1223b0520a2a676
13b76281580150
1451a080ca677c
1525e92e43baac
hex12ddf701613a

20744541135162 has 96 divisors (see below), whose sum is σ = 50587252724736. Its totient is φ = 6095890944000.

The previous prime is 20744541135113. The next prime is 20744541135163. The reversal of 20744541135162 is 26153114544702.

It is a happy number.

20744541135162 is a `hidden beast` number, since 2 + 0 + 7 + 4 + 45 + 411 + 35 + 162 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (20744541135163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443287 + ... + 6456437.

It is an arithmetic number, because the mean of its divisors is an integer number (526950549216).

Almost surely, 220744541135162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20744541135162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25293626362368).

20744541135162 is an abundant number, since it is smaller than the sum of its proper divisors (29842711589574).

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

20744541135162 is a wasteful number, since it uses less digits than its factorization.

20744541135162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6013836 (or 6013833 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

Adding to 20744541135162 its reverse (26153114544702), we get a palindrome (46897655679864).

The spelling of 20744541135162 in words is "twenty trillion, seven hundred forty-four billion, five hundred forty-one million, one hundred thirty-five thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 299 414 598 641 897 1282 1794 1923 2691 3846 5382 5769 8333 11538 14743 16666 24999 29486 44229 49998 74997 88458 132687 149994 191659 265374 383318 574977 1149954 1724931 3449862 6013151 12026302 18039453 36078906 54118359 78170963 108236718 138302473 156341926 234512889 276604946 414907419 469025778 703538667 829814838 1244722257 1407077334 1797932149 2489444514 3595864298 3854429791 5393796447 7708859582 10787592894 11563289373 16181389341 23126578746 32362778682 34689868119 50107587283 69379736238 88651885193 100215174566 150322761849 177303770386 265955655579 300645523698 450968285547 531911311158 797866966737 901936571094 1152474507509 1595733933474 2304949015018 3457423522527 6914847045054 10372270567581 20744541135162