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20635164361404 = 22324795695993511
BaseRepresentation
bin1001011000100011111111…
…01001000100001010111100
32201001200222002021012112200
410230101333221010022330
510201041304034031104
6111515355202431500
74226561416015665
oct454217751041274
981050862235480
1020635164361404
11663636236283a
122393296962590
13b68b70221888
14514a6679436c
1525bb7bdedb39
hex12c47fa442bc

20635164361404 has 144 divisors (see below), whose sum is σ = 52464222720000. Its totient is φ = 6838577591040.

The previous prime is 20635164361403. The next prime is 20635164361459. The reversal of 20635164361404 is 40416346153602.

20635164361404 is a `hidden beast` number, since 2 + 0 + 63 + 5 + 16 + 436 + 140 + 4 = 666.

It is a super-2 number, since 2×206351643614042 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20635164361404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20635164361403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5877288009 + ... + 5877291519.

It is an arithmetic number, because the mean of its divisors is an integer number (364334880000).

Almost surely, 220635164361404 is an apocalyptic number.

It is an amenable number.

20635164361404 is an abundant number, since it is smaller than the sum of its proper divisors (31829058358596).

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

20635164361404 is a wasteful number, since it uses less digits than its factorization.

20635164361404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5168 (or 5163 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 20635164361404 in words is "twenty trillion, six hundred thirty-five billion, one hundred sixty-four million, three hundred sixty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 479 569 599 958 1138 1198 1437 1707 1797 1916 2276 2396 2874 3414 3511 3594 4311 5121 5391 5748 6828 7022 7188 8622 10242 10533 10782 14044 17244 20484 21066 21564 31599 42132 63198 126396 272551 286921 340831 545102 573842 681662 817653 860763 1022493 1090204 1147684 1363324 1635306 1681769 1721526 1997759 2044986 2103089 2452959 2582289 3067479 3270612 3363538 3443052 3995518 4089972 4206178 4905918 5045307 5164578 5993277 6134958 6309267 6727076 7991036 8412356 9811836 10090614 10329156 11986554 12269916 12618534 15135921 17979831 18927801 20181228 23973108 25237068 30271842 35959662 37855602 60543684 71919324 75711204 163258049 326516098 489774147 653032196 956926561 979548294 1007379631 1196657641 1469322441 1913853122 1959096588 2014759262 2393315282 2870779683 2938644882 3022138893 3589972923 3827706244 4029518524 4786630564 5741559366 5877289764 6044277786 7179945846 8612339049 9066416679 10769918769 11483118732 12088555572 14359891692 17224678098 18132833358 21539837538 34449356196 36265666716 43079675076 573199010039 1146398020078 1719597030117 2292796040156 3439194060234 5158791090351 6878388120468 10317582180702 20635164361404