Base | Representation |
---|---|
bin | 10110110011011001101001… |
… | …011001100000010000000000 |
3 | 111011002120002120222110202012 |
4 | 112303121221121200100000 |
5 | 101121114343142424401 |
6 | 553144125245512052 |
7 | 30060442136142242 |
oct | 2663315131402000 |
9 | 434076076873665 |
10 | 100289254654976 |
11 | 29a56485798742 |
12 | b2b8890572628 |
13 | 43c630ba2c61a |
14 | 1aaa050c12092 |
15 | b8db489428bb |
hex | 5b3669660400 |
100289254654976 has 44 divisors (see below), whose sum is σ = 202465526937900. Its totient is φ = 49648145817600.
The previous prime is 100289254654973. The next prime is 100289254655003. The reversal of 100289254654976 is 679456452982001.
100289254654976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 98177975910400 + 2111278744576 = 9908480^2 + 1453024^2 .
It is a Leyland number of the form 1410 + 1014.
It is not an unprimeable number, because it can be changed into a prime (100289254654973) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 484741751 + ... + 484948598.
Almost surely, 2100289254654976 is an apocalyptic number.
100289254654976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
100289254654976 is an abundant number, since it is smaller than the sum of its proper divisors (102176272282924).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100289254654976 is an equidigital number, since it uses as much as digits as its factorization.
100289254654976 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 969690470 (or 969690452 counting only the distinct ones).
The product of its (nonzero) digits is 261273600, while the sum is 68.
It can be divided in two parts, 100 and 289254654976, that multiplied together give a square (28925465497600 = 53782402).
The spelling of 100289254654976 in words is "one hundred trillion, two hundred eighty-nine billion, two hundred fifty-four million, six hundred fifty-four thousand, nine hundred seventy-six".
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