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10242767601038 = 27314712718732111
BaseRepresentation
bin1001010100001101010010…
…0001100011110110001110
31100021012101002022011201102
42111003110201203312032
52320304142001213123
633441243521143102
72105005221040640
oct225032441436616
940235332264642
1010242767601038
113299a2a311945
12119514a18aa92
13593b72a222ab
14275a771aa890
1512b687d39028
hex950d4863d8e

10242767601038 has 128 divisors (see below), whose sum is σ = 18675658653696. Its totient is φ = 4120872537600.

The previous prime is 10242767601019. The next prime is 10242767601041. The reversal of 10242767601038 is 83010676724201.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a junction number, because it is equal to n+sod(n) for n = 10242767600983 and 10242767601001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4852091603 + ... + 4852093713.

It is an arithmetic number, because the mean of its divisors is an integer number (145903583232).

Almost surely, 210242767601038 is an apocalyptic number.

10242767601038 is a deficient number, since it is larger than the sum of its proper divisors (8432891052658).

10242767601038 is a wasteful number, since it uses less digits than its factorization.

10242767601038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4198.

The product of its (nonzero) digits is 677376, while the sum is 47.

The spelling of 10242767601038 in words is "ten trillion, two hundred forty-two billion, seven hundred sixty-seven million, six hundred one thousand, thirty-eight".

Divisors: 1 2 7 14 31 47 62 94 127 217 254 329 434 658 889 1457 1778 1873 2111 2914 3746 3937 4222 5969 7874 10199 11938 13111 14777 20398 26222 27559 29554 41783 55118 58063 65441 83566 88031 99217 116126 130882 176062 185039 198434 237871 268097 370078 406441 458087 475742 536194 616217 694519 812882 916174 1232434 1295273 1389038 1665097 1876679 2590546 2728961 3075727 3330194 3753358 3953903 5457922 6151454 7374001 7907806 8311007 11179937 12600559 14748002 16622014 19102727 21530089 22359874 25201118 27677321 38205454 43060178 51618007 55354642 58177049 78259559 88203913 103236014 116354098 122570993 156519118 176407826 185833441 245141986 346578047 371666882 390617329 502145681 693156094 781234658 857996951 1004291362 1300834087 1715993902 2426046329 2601668174 2734321303 3515019767 4852092658 5468642606 5760836671 7030039534 11521673342 15566516111 23600847007 31133032222 40325856697 47201694014 80651713394 108965612777 165205929049 217931225554 330411858098 731626257217 1463252514434 5121383800519 10242767601038