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20180888712 = 23322321094861
BaseRepresentation
bin10010110010110111…
…111110110010001000
31221002102220100220200
4102302313332302020
5312312301414322
613134310252200
71313046503145
oct226267766210
957072810820
1020180888712
118616649426
123ab2657060
131b9800018a
14d963313cc
157d1a9c8ac
hex4b2dfec88

20180888712 has 144 divisors (see below), whose sum is σ = 57672314700. Its totient is φ = 6374142720.

The previous prime is 20180888669. The next prime is 20180888719. The reversal of 20180888712 is 21788808102.

It can be written as a sum of positive squares in 2 ways, for example, as 17807834916 + 2373053796 = 133446^2 + 48714^2 .

It is a super-3 number, since 3×201808887123 (a number of 32 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 (20180888719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4149162 + ... + 4154022.

Almost surely, 220180888712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20180888712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28836157350).

20180888712 is an abundant number, since it is smaller than the sum of its proper divisors (37491425988).

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

20180888712 is a wasteful number, since it uses less digits than its factorization.

20180888712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5028 (or 4998 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 20180888712 in words is "twenty billion, one hundred eighty million, eight hundred eighty-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 109 138 184 207 218 276 327 414 436 529 552 654 828 872 981 1058 1308 1587 1656 1962 2116 2507 2616 3174 3924 4232 4761 4861 5014 6348 7521 7848 9522 9722 10028 12696 14583 15042 19044 19444 20056 22563 29166 30084 38088 38888 43749 45126 57661 58332 60168 87498 90252 111803 115322 116664 172983 174996 180504 223606 230644 335409 345966 349992 447212 461288 518949 529849 670818 691932 894424 1006227 1037898 1059698 1341636 1383864 1589547 2012454 2075796 2119396 2571469 2683272 3179094 4024908 4151592 4238792 4768641 5142938 6358188 7714407 8049816 9537282 10285876 12186527 12716376 15428814 19074564 20571752 23143221 24373054 30857628 36559581 38149128 46286442 48746108 61715256 73119162 92572884 97492216 109678743 146238324 185145768 219357486 280290121 292476648 438714972 560580242 840870363 877429944 1121160484 1681740726 2242320968 2522611089 3363481452 5045222178 6726962904 10090444356 20180888712