Base | Representation |
---|---|
bin | 110000101101010100… |
… | …0011011100000000000 |
3 | 100222222201220111210020 |
4 | 1201122220123200000 |
5 | 3203210014403234 |
6 | 120015155533440 |
7 | 10362036213045 |
oct | 1413250334000 |
9 | 328881814706 |
10 | 104599762944 |
11 | 403a6926086 |
12 | 183322ba280 |
13 | 9b2c775b71 |
14 | 50c3cd91cc |
15 | 2ac2e82549 |
hex | 185aa1b800 |
104599762944 has 144 divisors (see below), whose sum is σ = 296238360600. Its totient is φ = 32815054848.
The previous prime is 104599762921. The next prime is 104599762951. The reversal of 104599762944 is 449267995401.
It is a super-3 number, since 3×1045997629443 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 11 ways as a sum of consecutive naturals, for example, 1746162 + ... + 1805070.
Almost surely, 2104599762944 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 104599762944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148119180300).
104599762944 is an abundant number, since it is smaller than the sum of its proper divisors (191638597656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
104599762944 is an equidigital number, since it uses as much as digits as its factorization.
104599762944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 58968 (or 58931 counting only the distinct ones).
The product of its (nonzero) digits is 19595520, while the sum is 60.
The spelling of 104599762944 in words is "one hundred four billion, five hundred ninety-nine million, seven hundred sixty-two thousand, nine hundred forty-four".
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