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21029579983204 = 2213219292832
BaseRepresentation
bin1001100100000010101001…
…01001010000100101100100
32202110102000120211202210021
410302001110221100211210
510224022034433430304
6112420504454204524
74300223411336002
oct462012451204544
982412016752707
1021029579983204
11677865a72a141
12243780b953744
13b97108915100
14529ba1017a72
1526706340ba54
hex132054a50964

21029579983204 has 81 divisors (see below), whose sum is σ = 42062743209753. Its totient is φ = 9194129459424.

The previous prime is 21029579983193. The next prime is 21029579983211. The reversal of 21029579983204 is 40238997592012.

The square root of 21029579983204 is 4585802.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3110884612900 + 17918695370304 = 1763770^2 + 4233048^2 .

It is a super-3 number, since 3×210295799832043 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2265381547 + ... + 2265390829.

Almost surely, 221029579983204 is an apocalyptic number.

21029579983204 is the 4585802-nd square number.

It is an amenable number.

21029579983204 is an abundant number, since it is smaller than the sum of its proper divisors (21033163226549).

21029579983204 is an frugal number, since it uses more digits than its factorization.

21029579983204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18634 (or 9317 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 61.

The spelling of 21029579983204 in words is "twenty-one trillion, twenty-nine billion, five hundred seventy-nine million, nine hundred eighty-three thousand, two hundred four".

Divisors: 1 2 4 13 19 26 38 52 76 169 247 338 361 494 676 722 988 1444 3211 4693 6422 9283 9386 12844 18566 18772 37132 61009 120679 122018 176377 241358 244036 352754 482716 705508 1568827 2292901 3137654 3351163 4585802 6275308 6702326 9171604 13404652 29807713 43565119 59615426 86174089 87130238 119230852 172348178 174260476 344696356 566346547 1120263157 1132693094 1637307691 2240526314 2265386188 3274615382 4481052628 6549230764 14563421041 21284999983 29126842082 31108846129 42569999966 58253684164 62217692258 85139999932 124435384516 276704999779 404414999677 553409999558 808829999354 1106819999116 1617659998708 5257394995801 10514789991602 21029579983204