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29297559449284 = 2272109235472
BaseRepresentation
bin1101010100101010111101…
…00111111010111011000100
310211201211010021212112112221
412222111132213322323010
512320002400204334114
6142151040224222124
76112451556255400
oct652253647727304
9124654107775487
1029297559449284
1193760305835a5
12335209146a944
131346995489279
1473401bcac100
1535c16b83a524
hex1aa55e9faec4

29297559449284 has 81 divisors (see below), whose sum is σ = 60210624653613. Its totient is φ = 12437395913376.

The previous prime is 29297559449243. The next prime is 29297559449287. The reversal of 29297559449284 is 48294495579292.

The square root of 29297559449284 is 5412722.

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., 20420258378884 + 8877301070400 = 4518878^2 + 2979480^2 .

It is a super-2 number, since 2×292975594492842 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29297559449287) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8259811999 + ... + 8259815545.

Almost surely, 229297559449284 is an apocalyptic number.

29297559449284 is the 5412722-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29297559449284

29297559449284 is an abundant number, since it is smaller than the sum of its proper divisors (30913065204329).

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

29297559449284 is an frugal number, since it uses more digits than its factorization.

29297559449284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7330 (or 3665 counting only the distinct ones).

The product of its digits is 4702924800, while the sum is 79.

The spelling of 29297559449284 in words is "twenty-nine trillion, two hundred ninety-seven billion, five hundred fifty-nine million, four hundred forty-nine thousand, two hundred eighty-four".

Divisors: 1 2 4 7 14 28 49 98 109 196 218 436 763 1526 3052 3547 5341 7094 10682 11881 14188 21364 23762 24829 47524 49658 83167 99316 166334 173803 332668 347606 386623 582169 695212 773246 1164338 1546492 2328676 2706361 5412722 10825444 12581209 18944527 25162418 37889054 42141907 50324836 75778108 84283814 88068463 168567628 176136926 294993349 352273852 589986698 616479241 1179973396 1232958482 1371351781 2064953443 2465916964 2742703562 4129906886 5485407124 8259813772 9599462467 19198924934 38397849868 67196237269 134392474538 149477344129 268784949076 298954688258 597909376516 1046341408903 2092682817806 4185365635612 7324389862321 14648779724642 29297559449284