Base | Representation |
---|---|
bin | 10010101010110001… |
… | …11111101000100000 |
3 | 221212111012021222100 |
4 | 21111120333220200 |
5 | 131011233100143 |
6 | 4334310010400 |
7 | 503240161350 |
oct | 112530775040 |
9 | 27774167870 |
10 | 10022550048 |
11 | 4283517215 |
12 | 1b38646a00 |
13 | c395844b4 |
14 | 6b1152b60 |
15 | 3d9d646d3 |
hex | 25563fa20 |
10022550048 has 144 divisors (see below), whose sum is σ = 32607731520. Its totient is φ = 2860558848.
The previous prime is 10022549981. The next prime is 10022550049. The reversal of 10022550048 is 84005522001.
It is a happy number.
10022550048 is a `hidden beast` number, since 100 + 2 + 2 + 550 + 0 + 4 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is not an unprimeable number, because it can be changed into a prime (10022550049) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2491783 + ... + 2495801.
It is an arithmetic number, because the mean of its divisors is an integer number (226442580).
Almost surely, 210022550048 is an apocalyptic number.
10022550048 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 10022550048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16303865760).
10022550048 is an abundant number, since it is smaller than the sum of its proper divisors (22585181472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10022550048 is a wasteful number, since it uses less digits than its factorization.
10022550048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5279 (or 5268 counting only the distinct ones).
The product of its (nonzero) digits is 3200, while the sum is 27.
The spelling of 10022550048 in words is "ten billion, twenty-two million, five hundred fifty thousand, forty-eight".
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