Base | Representation |
---|---|
bin | 1001001001101001000110… |
… | …0011011100000000000000 |
3 | 1022121211212012001122102000 |
4 | 2102122101203130000000 |
5 | 2304320422340041110 |
6 | 33222024340424000 |
7 | 2055621200526600 |
oct | 222322143340000 |
9 | 38554765048360 |
10 | 10061255393280 |
11 | 3229a55411693 |
12 | 1165b320a8000 |
13 | 57ca06a03070 |
14 | 26ad78610c00 |
15 | 126ab29c41c0 |
hex | 926918dc000 |
10061255393280 has 2880 divisors, whose sum is σ = 46263250212480. Its totient is φ = 2054739197952.
The previous prime is 10061255393239. The next prime is 10061255393281. The reversal of 10061255393280 is 8239355216001.
10061255393280 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 1 + 2 + 5 + 539 + 32 + 80 = 666.
It is a tau number, because it is divible by the number of its divisors (2880).
It is a super-4 number, since 4×100612553932804 (a number of 53 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10061255393281) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52130856864 + ... + 52130857056.
It is an arithmetic number, because the mean of its divisors is an integer number (16063628546).
Almost surely, 210061255393280 is an apocalyptic number.
10061255393280 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 10061255393280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23131625106240).
10061255393280 is an abundant number, since it is smaller than the sum of its proper divisors (36201994819200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10061255393280 is a wasteful number, since it uses less digits than its factorization.
10061255393280 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 299 (or 260 counting only the distinct ones).
The product of its (nonzero) digits is 388800, while the sum is 45.
The spelling of 10061255393280 in words is "ten trillion, sixty-one billion, two hundred fifty-five million, three hundred ninety-three thousand, two hundred eighty".
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