| Base | Representation |
|---|---|
| bin | 10100011010001101… |
| … | …00110111111100000 |
| 3 | 1001021122000012121100 |
| 4 | 22031012212333200 |
| 5 | 134420024121444 |
| 6 | 5011135554400 |
| 7 | 535350061521 |
| oct | 121506467740 |
| 9 | 31248005540 |
| 10 | 10957254624 |
| 11 | 47130a2638 |
| 12 | 215968ba00 |
| 13 | 105810c324 |
| 14 | 75d344848 |
| 15 | 441e48e69 |
| hex | 28d1a6fe0 |
10957254624 has 144 divisors (see below), whose sum is σ = 31446808848. Its totient is φ = 3618963456.
The previous prime is 10957254617. The next prime is 10957254661. The reversal of 10957254624 is 42645275901.
10957254624 is a `hidden beast` number, since 1 + 0 + 9 + 572 + 54 + 6 + 24 = 666.
10957254624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×109572546242 (a number of 21 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 10957254624.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23462839 + ... + 23463305.
It is an arithmetic number, because the mean of its divisors is an integer number (218380617).
Almost surely, 210957254624 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 10957254624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15723404424).
10957254624 is an abundant number, since it is smaller than the sum of its proper divisors (20489554224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10957254624 is a wasteful number, since it uses less digits than its factorization.
10957254624 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1057 (or 1046 counting only the distinct ones).
The product of its (nonzero) digits is 604800, while the sum is 45.
The spelling of 10957254624 in words is "ten billion, nine hundred fifty-seven million, two hundred fifty-four thousand, six hundred twenty-four".
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