| Base | Representation |
|---|---|
| bin | 10100011011110101… |
| … | …10110110110000000 |
| 3 | 1001022120210001120000 |
| 4 | 22031322312312000 |
| 5 | 134432030413130 |
| 6 | 5012345320000 |
| 7 | 535604355000 |
| oct | 121572666600 |
| 9 | 31276701500 |
| 10 | 10970951040 |
| 11 | 471a8a7995 |
| 12 | 2162196000 |
| 13 | 105abc650a |
| 14 | 7610ac000 |
| 15 | 443252260 |
| hex | 28deb6d80 |
10970951040 has 640 divisors, whose sum is σ = 45764136000. Its totient is φ = 2503581696.
The previous prime is 10970950999. The next prime is 10970951041. The reversal of 10970951040 is 4015907901.
10970951040 is a `hidden beast` number, since 10 + 97 + 0 + 9 + 510 + 40 = 666.
10970951040 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 (640).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 10970950986 and 10970951004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10970951041) by changing a digit.
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 79 ways as a sum of consecutive naturals, for example, 17780812 + ... + 17781428.
Almost surely, 210970951040 is an apocalyptic number.
10970951040 is a gapful number since it is divisible by the number (10) 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 10970951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22882068000).
10970951040 is an abundant number, since it is smaller than the sum of its proper divisors (34793184960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10970951040 is an frugal number, since it uses more digits than its factorization.
10970951040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 669 (or 634 counting only the distinct ones).
The product of its (nonzero) digits is 11340, while the sum is 36.
The spelling of 10970951040 in words is "ten billion, nine hundred seventy million, nine hundred fifty-one thousand, forty".
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