Search a number
-
+
6146122104 = 2333532572089
BaseRepresentation
bin1011011100101011…
…00110000101111000
3120212100000100112000
411232111212011320
5100041401401404
62453512421000
7305210114223
oct55625460570
916770010460
106146122104
112674364561
1212363a7760
1376c43a855
144243a85ba
1525e89d339
hex16e566178

6146122104 has 128 divisors (see below), whose sum is σ = 17470728000. Its totient is φ = 2001272832.

The previous prime is 6146122079. The next prime is 6146122121. The reversal of 6146122104 is 4012216416.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 2941092 + ... + 2943180.

Almost surely, 26146122104 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 6146122104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8735364000).

6146122104 is an abundant number, since it is smaller than the sum of its proper divisors (11324605896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6146122104 is a wasteful number, since it uses less digits than its factorization.

6146122104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6146122104 is about 78397.2072461768. The cubic root of 6146122104 is about 1831.7536321000.

The spelling of 6146122104 in words is "six billion, one hundred forty-six million, one hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 257 318 424 477 514 636 771 954 1028 1272 1431 1542 1908 2056 2089 2313 2862 3084 3816 4178 4626 5724 6168 6267 6939 8356 9252 11448 12534 13621 13878 16712 18504 18801 25068 27242 27756 37602 40863 50136 54484 55512 56403 75204 81726 108968 110717 112806 122589 150408 163452 221434 225612 245178 326904 332151 367767 442868 451224 490356 536873 664302 735534 885736 980712 996453 1073746 1328604 1471068 1610619 1992906 2147492 2657208 2942136 2989359 3221238 3985812 4294984 4831857 5978718 6442476 7971624 9663714 11957436 12884952 14495571 19327428 23914872 28454269 28991142 38654856 56908538 57982284 85362807 113817076 115964568 170725614 227634152 256088421 341451228 512176842 682902456 768265263 1024353684 1536530526 2048707368 3073061052 6146122104