Base | Representation |
---|---|
bin | 110001101011101000… |
… | …1111101101100010000 |
3 | 101012101110222122221122 |
4 | 1203113101331230100 |
5 | 3222000400310210 |
6 | 121002502541412 |
7 | 10464621520001 |
oct | 1432721755420 |
9 | 335343878848 |
10 | 106691025680 |
11 | 4127a336798 |
12 | 18816737868 |
13 | a0a3ac4b35 |
14 | 524194d1a8 |
15 | 2b96870b55 |
hex | 18d747db10 |
106691025680 has 20 divisors (see below), whose sum is σ = 248056634892. Its totient is φ = 42676410240.
The previous prime is 106691025667. The next prime is 106691025709. The reversal of 106691025680 is 86520196601.
It can be written as a sum of positive squares in 2 ways, for example, as 83426234896 + 23264790784 = 288836^2 + 152528^2 .
It is a tau number, because it is divible by the number of its divisors (20).
It is a super-2 number, since 2×1066910256802 (a number of 23 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 666818831 + ... + 666818990.
Almost surely, 2106691025680 is an apocalyptic number.
106691025680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
106691025680 is an abundant number, since it is smaller than the sum of its proper divisors (141365609212).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106691025680 is a wasteful number, since it uses less digits than its factorization.
106691025680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1333637834 (or 1333637828 counting only the distinct ones).
The product of its (nonzero) digits is 155520, while the sum is 44.
The spelling of 106691025680 in words is "one hundred six billion, six hundred ninety-one million, twenty-five thousand, six hundred eighty".
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