Base | Representation |
---|---|
bin | 1101011001101001010111… |
… | …01100011010010001100100 |
3 | 10212100011100200121012211221 |
4 | 12230310223230122101210 |
5 | 12330302443420230400 |
6 | 142401351012310124 |
7 | 6131012664251152 |
oct | 654645354322144 |
9 | 125304320535757 |
10 | 29468503680100 |
11 | 94315820a3311 |
12 | 337b23a312344 |
13 | 1359b38c251c4 |
14 | 73c3d70d63d2 |
15 | 361823eecc1a |
hex | 1acd2bb1a464 |
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".
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