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21314702612420 = 22572310096560429
BaseRepresentation
bin1001101100010101101110…
…10001110001011111000100
32210110122222021101001111122
410312022313101301133010
510243210002332044140
6113155501133453112
74326636125603450
oct466126721613704
983418867331448
1021314702612420
116878572a51588
122482b22941198
13bb7c77432529
145398cc337660
1526e69e92aab5
hex1362b74717c4

21314702612420 has 96 divisors (see below), whose sum is σ = 53432340595200. Its totient is φ = 6983234463744.

The previous prime is 21314702612387. The next prime is 21314702612477. The reversal of 21314702612420 is 2421620741312.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31235 + ... + 6529194.

It is an arithmetic number, because the mean of its divisors is an integer number (556586881200).

Almost surely, 221314702612420 is an apocalyptic number.

21314702612420 is a gapful number since it is divisible by the number (20) 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 21314702612420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26716170297600).

21314702612420 is an abundant number, since it is smaller than the sum of its proper divisors (32117637982780).

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

21314702612420 is a wasteful number, since it uses less digits than its factorization.

21314702612420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6561477 (or 6561475 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 21314702612420 in words is "twenty-one trillion, three hundred fourteen billion, seven hundred two million, six hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1009 1610 2018 3220 4036 5045 7063 10090 14126 20180 23207 28252 35315 46414 70630 92828 116035 141260 162449 232070 324898 464140 649796 812245 1624490 3248980 6560429 13120858 26241716 32802145 45923003 65604290 91846006 131208580 150889867 183692012 229615015 301779734 459230030 603559468 754449335 918460060 1056229069 1508898670 2112458138 3017797340 4224916276 5281145345 6619472861 10562290690 13238945722 21124581380 26477891444 33097364305 46336310027 66194728610 92672620054 132389457220 152247875803 185345240108 231681550135 304495751606 463363100270 608991503212 761239379015 926726200540 1065735130621 1522478758030 2131470261242 3044957516060 4262940522484 5328675653105 10657351306210 21314702612420