Base | Representation |
---|---|
bin | 1001000110101010001010… |
… | …0011011110110100111000 |
3 | 1022102221120011220012101021 |
4 | 2101222202203132310320 |
5 | 2303000440224304401 |
6 | 33142310405232224 |
7 | 2052125104463632 |
oct | 221524243366470 |
9 | 38387504805337 |
10 | 10010001009976 |
11 | 320a243678920 |
12 | 1158009102674 |
13 | 577c2910a5c6 |
14 | 2686b5475a52 |
15 | 1255b2e502a1 |
hex | 91aa28ded38 |
10010001009976 has 64 divisors (see below), whose sum is σ = 20788321075200. Its totient is φ = 4480674806400.
The previous prime is 10010001009973. The next prime is 10010001010003. The reversal of 10010001009976 is 67990010001001.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10010001009973) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 782886 + ... + 4542346.
It is an arithmetic number, because the mean of its divisors is an integer number (324817516800).
Almost surely, 210010001009976 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 10010001009976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10394160537600).
10010001009976 is an abundant number, since it is smaller than the sum of its proper divisors (10778320065224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10010001009976 is a wasteful number, since it uses less digits than its factorization.
10010001009976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3759940 (or 3759936 counting only the distinct ones).
The product of its (nonzero) digits is 3402, while the sum is 34.
The spelling of 10010001009976 in words is "ten trillion, ten billion, one million, nine thousand, nine hundred seventy-six".
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