Base | Representation |
---|---|
bin | 10011000110110001… |
… | …10000101110010000 |
3 | 222110212001101101121 |
4 | 21203120300232100 |
5 | 132001341320000 |
6 | 4413455012024 |
7 | 512121130543 |
oct | 114330605620 |
9 | 28425041347 |
10 | 10257370000 |
11 | 4394021999 |
12 | 1ba320a014 |
13 | c76110607 |
14 | 6d43da85a |
15 | 40079ab1a |
hex | 263630b90 |
10257370000 has 100 divisors (see below), whose sum is σ = 25185638016. Its totient is φ = 4044880000.
The previous prime is 10257369989. The next prime is 10257370049. The reversal of 10257370000 is 7375201.
It is a tau number, because it is divible by the number of its divisors (100).
It is a Harshad number since it is a multiple of its sum of digits (25).
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 702777 + ... + 717223.
Almost surely, 210257370000 is an apocalyptic number.
10257370000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10257370000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12592819008).
10257370000 is an abundant number, since it is smaller than the sum of its proper divisors (14928268016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10257370000 is an equidigital number, since it uses as much as digits as its factorization.
10257370000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 14546 (or 14525 counting only the distinct ones).
The product of its (nonzero) digits is 1470, while the sum is 25.
The spelling of 10257370000 in words is "ten billion, two hundred fifty-seven million, three hundred seventy thousand".
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