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20423633632402 = 271113231595927793
BaseRepresentation
bin1001010010011001111110…
…11011010111110010010010
32200022110222010212210111011
410221030333123113302102
510134110100202214102
6111234253205041134
74205362452336160
oct451147733276222
980273863783434
1020423633632402
116564683819240
12235a2a16b61aa
13b51c2c054240
1450871b12c230
152563eb5022d7
hex12933f6d7c92

20423633632402 has 128 divisors (see below), whose sum is σ = 42925533880320. Its totient is φ = 7025115018240.

The previous prime is 20423633632289. The next prime is 20423633632403.

20423633632402 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×204236336324023 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (20423633632403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 734834218 + ... + 734862010.

It is an arithmetic number, because the mean of its divisors is an integer number (335355733440).

Almost surely, 220423633632402 is an apocalyptic number.

20423633632402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20423633632402 is an abundant number, since it is smaller than the sum of its proper divisors (22501900247918).

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

20423633632402 is a wasteful number, since it uses less digits than its factorization.

20423633632402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43808.

The product of its (nonzero) digits is 746496, while the sum is 40.

It can be divided in two parts, 2042363 and 3632402, that added together give a palindrome (5674765).

The spelling of 20423633632402 in words is "twenty trillion, four hundred twenty-three billion, six hundred thirty-three million, six hundred thirty-two thousand, four hundred two".

Divisors: 1 2 7 11 13 14 22 23 26 46 77 91 143 154 161 182 253 286 299 322 506 598 1001 1771 2002 2093 3289 3542 4186 6578 15959 23023 27793 31918 46046 55586 111713 175549 194551 207467 223426 305723 351098 361309 367057 389102 414934 611446 639239 722618 734114 1228843 1278478 1452269 2140061 2282137 2457686 2529163 2569399 2904538 3974399 4037627 4280122 4474673 4564274 4771741 5058326 5138798 7031629 7948798 8075254 8310107 8949346 9543482 14063258 15974959 16620214 27820793 28263389 31949918 33402187 49221403 52489151 55641586 56526778 58170749 66804374 91411177 98442806 104978302 116341498 182822354 367424057 443548487 639878239 734848114 887096974 1279756478 3104839409 4879033357 5766130331 6209678818 9758066714 10201615201 11532260662 20403230402 34153233499 40362912317 63427433641 68306466998 71411306407 80725824634 112217767211 126854867282 132620997613 142822612814 224435534422 265241995226 443992035487 785524370477 887984070974 928346983291 1458830973743 1571048740954 1856693966582 2917661947486 10211816816201 20423633632402