Base | Representation |
---|---|
bin | 110001100001000101… |
… | …1110011011000100110 |
3 | 101011110210222211012000 |
4 | 1203002023303120212 |
5 | 3220234243322222 |
6 | 120503420510130 |
7 | 10453063225551 |
oct | 1430213633046 |
9 | 334423884160 |
10 | 106337089062 |
11 | 41108572996 |
12 | 187380ab346 |
13 | a048690b99 |
14 | 520a939698 |
15 | 2b7575a9ac |
hex | 18c22f3626 |
106337089062 has 128 divisors (see below), whose sum is σ = 263899814400. Its totient is φ = 31541695488.
The previous prime is 106337089039. The next prime is 106337089073. The reversal of 106337089062 is 260980733601.
106337089062 is a `hidden beast` number, since 1 + 0 + 633 + 7 + 0 + 8 + 9 + 0 + 6 + 2 = 666.
It is a super-2 number, since 2×1063370890622 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 106337088999 and 106337089017.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9116338 + ... + 9127994.
It is an arithmetic number, because the mean of its divisors is an integer number (2061717300).
Almost surely, 2106337089062 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 106337089062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131949907200).
106337089062 is an abundant number, since it is smaller than the sum of its proper divisors (157562725338).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106337089062 is a wasteful number, since it uses less digits than its factorization.
106337089062 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12227 (or 12221 counting only the distinct ones).
The product of its (nonzero) digits is 326592, while the sum is 45.
The spelling of 106337089062 in words is "one hundred six billion, three hundred thirty-seven million, eighty-nine thousand, sixty-two".
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