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82426670100 = 22325291585189
BaseRepresentation
bin100110011000100000…
…0110010110000010100
321212202110022200120100
41030301000302300110
52322302211420400
6101511041334100
75645416064355
oct1146100626024
9255673280510
1082426670100
1131a58785265
1213b84637330
137a07acab98
143dbd17bd2c
152226562100
hex1331032c14

82426670100 has 54 divisors (see below), whose sum is σ = 258361820990. Its totient is φ = 21980445120.

The previous prime is 82426670087. The next prime is 82426670119. The reversal of 82426670100 is 107662428.

It can be written as a sum of positive squares in 3 ways, for example, as 29533109904 + 52893560196 = 171852^2 + 229986^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 45791695 + ... + 45793494.

Almost surely, 282426670100 is an apocalyptic number.

It is an amenable number.

82426670100 is an abundant number, since it is smaller than the sum of its proper divisors (175935150890).

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

82426670100 is a wasteful number, since it uses less digits than its factorization.

82426670100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91585209 (or 91585199 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 82426670100 in words is "eighty-two billion, four hundred twenty-six million, six hundred seventy thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 91585189 183170378 274755567 366340756 457925945 549511134 824266701 915851890 1099022268 1373777835 1648533402 1831703780 2289629725 2747555670 3297066804 4121333505 4579259450 5495111340 6868889175 8242667010 9158518900 13737778350 16485334020 20606667525 27475556700 41213335050 82426670100