Base | Representation |
---|---|
bin | 10010101011111111… |
… | …00111010101100100 |
3 | 221220012020122122000 |
4 | 21111333213111210 |
5 | 131021331033043 |
6 | 4335311005300 |
7 | 503422215600 |
oct | 112577472544 |
9 | 27805218560 |
10 | 10032674148 |
11 | 4289201642 |
12 | 1b3bb09830 |
13 | c3b6ba6a3 |
14 | 6b262a500 |
15 | 3dabb42d3 |
hex | 255fe7564 |
10032674148 has 144 divisors (see below), whose sum is σ = 30754281600. Its totient is φ = 2819396160.
The previous prime is 10032674147. The next prime is 10032674153. The reversal of 10032674148 is 84147623001.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (10032674147) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307273 + ... + 338351.
It is an arithmetic number, because the mean of its divisors is an integer number (213571400).
Almost surely, 210032674148 is an apocalyptic number.
10032674148 is a gapful number since it is divisible by the number (18) 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 10032674148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15377140800).
10032674148 is an abundant number, since it is smaller than the sum of its proper divisors (20721607452).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10032674148 is a wasteful number, since it uses less digits than its factorization.
10032674148 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 31167 (or 31152 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The spelling of 10032674148 in words is "ten billion, thirty-two million, six hundred seventy-four thousand, one hundred forty-eight".
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