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13658112020 = 22572291094409
BaseRepresentation
bin11001011100001011…
…00100000000010100
31022020212010222102202
430232011210000110
5210432434041040
610135140424032
7662314015400
oct145605440024
938225128382
1013658112020
115879714793
1227920a8018
1313988360b7
14937d1c100
1554e0ed015
hex32e164014

13658112020 has 144 divisors (see below), whose sum is σ = 34839882000. Its totient is φ = 4478810112.

The previous prime is 13658111993. The next prime is 13658112077. The reversal of 13658112020 is 2021185631.

It can be written as a sum of positive squares in 8 ways, for example, as 600936196 + 13057175824 = 24514^2 + 114268^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3095576 + ... + 3099984.

It is an arithmetic number, because the mean of its divisors is an integer number (241943625).

Almost surely, 213658112020 is an apocalyptic number.

13658112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13658112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17419941000).

13658112020 is an abundant number, since it is smaller than the sum of its proper divisors (21181769980).

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

13658112020 is a wasteful number, since it uses less digits than its factorization.

13658112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4570 (or 4561 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

Adding to 13658112020 its reverse (2021185631), we get a palindrome (15679297651).

The spelling of 13658112020 in words is "thirteen billion, six hundred fifty-eight million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 109 116 140 145 196 203 218 245 290 406 436 490 545 580 763 812 980 1015 1090 1421 1526 2030 2180 2842 3052 3161 3815 4060 4409 5341 5684 6322 7105 7630 8818 10682 12644 14210 15260 15805 17636 21364 22045 22127 26705 28420 30863 31610 44090 44254 53410 61726 63220 88180 88508 106820 110635 123452 127861 154315 154889 216041 221270 255722 308630 309778 432082 442540 480581 511444 617260 619556 639305 774445 864164 895027 961162 1080205 1278610 1548890 1790054 1922324 2160410 2402905 2557220 3097780 3364067 3580108 4320820 4475135 4805810 6265189 6728134 8950270 9611620 12530378 13456268 13936849 16820335 17900540 23548469 25060756 27873698 31325945 33640670 47096938 55747396 62651890 67281340 69684245 94193876 97557943 117742345 125303780 139368490 195115886 235484690 278736980 390231772 470969380 487789715 682905601 975579430 1365811202 1951158860 2731622404 3414528005 6829056010 13658112020