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29468503680100 = 2252192285712
BaseRepresentation
bin1101011001101001010111…
…01100011010010001100100
310212100011100200121012211221
412230310223230122101210
512330302443420230400
6142401351012310124
76131012664251152
oct654645354322144
9125304320535757
1029468503680100
1194315820a3311
12337b23a312344
131359b38c251c4
1473c3d70d63d2
15361823eecc1a
hex1acd2bb1a464

29468503680100 has 81 divisors (see below), whose sum is σ = 67491766091001. Its totient is φ = 11166621069600.

The previous prime is 29468503680073. The next prime is 29468503680101. The reversal of 29468503680100 is 108630586492.

The square root of 29468503680100 is 5428490.

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., 10608661324836 + 18859842355264 = 3257094^2 + 4342792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29468503680101) 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, 1031398815 + ... + 1031427385.

Almost surely, 229468503680100 is an apocalyptic number.

29468503680100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29468503680100 is the 5428490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29468503680100

29468503680100 is an abundant number, since it is smaller than the sum of its proper divisors (38023262410901).

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

29468503680100 is an frugal number, since it uses more digits than its factorization.

29468503680100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57194 (or 28597 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 29468503680100 in words is "twenty-nine trillion, four hundred sixty-eight billion, five hundred three million, six hundred eighty thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 361 380 475 722 950 1444 1805 1900 3610 7220 9025 18050 28571 36100 57142 114284 142855 285710 542849 571420 714275 1085698 1428550 2171396 2714245 2857100 5428490 10314131 10856980 13571225 20628262 27142450 41256524 51570655 54284900 103141310 206282620 257853275 515706550 816302041 1031413100 1632604082 3265208164 4081510205 8163020410 15509738779 16326040820 20407551025 31019477558 40815102050 62038955116 77548693895 81630204100 155097387790 294685036801 310194775580 387743469475 589370073602 775486938950 1178740147204 1473425184005 1550973877900 2946850368010 5893700736020 7367125920025 14734251840050 29468503680100