Search a number
-
+
6020846397048 = 2337531453465379
BaseRepresentation
bin101011110011101011001…
…1010010010011001111000
3210022120212010201020121210
41113213112122102121320
51242121143134201143
620445534425403120
71160664120652020
oct127472632223170
923276763636553
106020846397048
111a1147691206a
12812a693394a0
133489c01b3a92
1416b5a667aa80
15a6939193033
hex579d6692678

6020846397048 has 128 divisors (see below), whose sum is σ = 17539092518400. Its totient is φ = 1686619224576.

The previous prime is 6020846397047. The next prime is 6020846397073. The reversal of 6020846397048 is 8407936480206.

It is a super-2 number, since 2×60208463970482 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6020846397047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12704823 + ... + 13170201.

It is an arithmetic number, because the mean of its divisors is an integer number (137024160300).

Almost surely, 26020846397048 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 6020846397048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8769546259200).

6020846397048 is an abundant number, since it is smaller than the sum of its proper divisors (11518246121352).

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

6020846397048 is a wasteful number, since it uses less digits than its factorization.

6020846397048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466901 (or 466897 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 6020846397048 in words is "six trillion, twenty billion, eight hundred forty-six million, three hundred ninety-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 636 742 1113 1272 1453 1484 2226 2906 2968 4359 4452 5812 8718 8904 10171 11624 17436 20342 30513 34872 40684 61026 77009 81368 122052 154018 231027 244104 308036 462054 465379 539063 616072 924108 930758 1078126 1396137 1617189 1848216 1861516 2156252 2792274 3234378 3257653 3723032 4312504 5584548 6468756 6515306 9772959 11169096 12937512 13030612 19545918 24665087 26061224 39091836 49330174 73995261 78183672 98660348 147990522 172655609 197320696 295981044 345311218 517966827 591962088 676195687 690622436 1035933654 1352391374 1381244872 2028587061 2071867308 2704782748 4057174122 4143734616 4733369809 5409565496 8114348244 9466739618 14200109427 16228696488 18933479236 28400218854 35838371411 37866958472 56800437708 71676742822 107515114233 113600875416 143353485644 215030228466 250868599877 286706971288 430060456932 501737199754 752605799631 860120913864 1003474399508 1505211599262 2006948799016 3010423198524 6020846397048