Base | Representation |
---|---|
bin | 1011101011011101… |
… | …0011111010001100 |
3 | 22002111011122002020 |
4 | 2322313103322030 |
5 | 22410033433034 |
6 | 1235031130140 |
7 | 140455404261 |
oct | 27267237214 |
9 | 8074148066 |
10 | 3135061644 |
11 | 136972a240 |
12 | 735b13950 |
13 | 3ac682b80 |
14 | 21a523268 |
15 | 135372249 |
hex | badd3e8c |
3135061644 has 96 divisors (see below), whose sum is σ = 8967780864. Its totient is φ = 838801920.
The previous prime is 3135061639. The next prime is 3135061649. The reversal of 3135061644 is 4461605313.
It is an interprime number because it is at equal distance from previous prime (3135061639) and next prime (3135061649).
It is a super-3 number, since 3×31350616443 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is not an unprimeable number, because it can be changed into a prime (3135061649) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249 + ... + 79184.
It is an arithmetic number, because the mean of its divisors is an integer number (93414384).
Almost surely, 23135061644 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 3135061644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483890432).
3135061644 is an abundant number, since it is smaller than the sum of its proper divisors (5832719220).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3135061644 is a wasteful number, since it uses less digits than its factorization.
3135061644 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 79487 (or 79485 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 33.
The square root of 3135061644 is about 55991.6211946038. The cubic root of 3135061644 is about 1463.5762774613.
Adding to 3135061644 its reverse (4461605313), we get a palindrome (7596666957).
The spelling of 3135061644 in words is "three billion, one hundred thirty-five million, sixty-one thousand, six hundred forty-four".
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