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4806202068 = 2234591032441
BaseRepresentation
bin1000111100111100…
…01101001011010100
3110101221201100210000
410132132031023110
534320341431233
62112525331300
7230050020633
oct43636151324
913357640700
104806202068
112046a80828
12b21706b30
135b7966565
1433845551a
151d1e24d13
hex11e78d2d4

4806202068 has 120 divisors (see below), whose sum is σ = 12906653760. Its totient is φ = 1558984320.

The previous prime is 4806202043. The next prime is 4806202069. The reversal of 4806202068 is 8602026084.

4806202068 is a `hidden beast` number, since 4 + 8 + 0 + 620 + 20 + 6 + 8 = 666.

It is a super-3 number, since 3×48062020683 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4806202069) 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 39 ways as a sum of consecutive naturals, for example, 1967728 + ... + 1970168.

It is an arithmetic number, because the mean of its divisors is an integer number (107555448).

Almost surely, 24806202068 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 4806202068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6453326880).

4806202068 is an abundant number, since it is smaller than the sum of its proper divisors (8100451692).

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

4806202068 is a wasteful number, since it uses less digits than its factorization.

4806202068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4806202068 is about 69326.7774240228. Note that the first 3 decimals coincide. The cubic root of 4806202068 is about 1687.5915494036.

The spelling of 4806202068 in words is "four billion, eight hundred six million, two hundred two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 103 108 118 162 177 206 236 309 324 354 412 531 618 708 927 1062 1236 1593 1854 2124 2441 2781 3186 3708 4779 4882 5562 6077 6372 7323 8343 9558 9764 11124 12154 14646 16686 18231 19116 21969 24308 29292 33372 36462 43938 54693 65907 72924 87876 109386 131814 144019 164079 197721 218772 251423 263628 288038 328158 395442 432057 492237 502846 576076 656316 754269 790884 864114 984474 1005692 1296171 1508538 1728228 1968948 2262807 2592342 3017076 3888513 4525614 5184684 6788421 7777026 9051228 11665539 13576842 14833957 15554052 20365263 23331078 27153684 29667914 40730526 44501871 46662156 59335828 81461052 89003742 133505613 178007484 267011226 400516839 534022452 801033678 1201550517 1602067356 2403101034 4806202068