Base | Representation |
---|---|
bin | 10010111001110100… |
… | …01100111001010000 |
3 | 222012021120011012000 |
4 | 21130322030321100 |
5 | 131241031230012 |
6 | 4355013434000 |
7 | 506331326625 |
oct | 113472147120 |
9 | 28167504160 |
10 | 10148695632 |
11 | 4338746269 |
12 | 1b7293b900 |
13 | c5975075a |
14 | 6c3bcc34c |
15 | 3e5e80ddc |
hex | 25ce8ce50 |
10148695632 has 160 divisors (see below), whose sum is σ = 31192646400. Its totient is φ = 3147927552.
The previous prime is 10148695631. The next prime is 10148695637. The reversal of 10148695632 is 23659684101.
10148695632 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 8 + 6 + 9 + 5 + 632 = 666.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10148695631) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 645853 + ... + 661379.
It is an arithmetic number, because the mean of its divisors is an integer number (194954040).
Almost surely, 210148695632 is an apocalyptic number.
10148695632 is a gapful number since it is divisible by the number (12) 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 10148695632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15596323200).
10148695632 is an abundant number, since it is smaller than the sum of its proper divisors (21043950768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10148695632 is a wasteful number, since it uses less digits than its factorization.
10148695632 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15650 (or 15638 counting only the distinct ones).
The product of its (nonzero) digits is 311040, while the sum is 45.
The spelling of 10148695632 in words is "ten billion, one hundred forty-eight million, six hundred ninety-five thousand, six hundred thirty-two".
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