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4845000006 = 2327117944249
BaseRepresentation
bin1001000001100100…
…01101010101000110
3110111122201111112200
410200302031111012
534410310000011
62120433055330
7231030551310
oct44062152506
913448644480
104845000006
112066970240
12b326b7546
135c29cbc12
1433d6747b0
151d553a856
hex120c8d546

4845000006 has 96 divisors (see below), whose sum is σ = 13253760000. Its totient is φ = 1242483840.

The previous prime is 4845000001. The next prime is 4845000031. The reversal of 4845000006 is 6000005484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4845000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87370 + ... + 131618.

It is an arithmetic number, because the mean of its divisors is an integer number (138060000).

Almost surely, 24845000006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4845000006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6626880000).

4845000006 is an abundant number, since it is smaller than the sum of its proper divisors (8408759994).

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

4845000006 is a wasteful number, since it uses less digits than its factorization.

4845000006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44354 (or 44351 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4845000006 is about 69606.0342642791. The cubic root of 4845000006 is about 1692.1203974317.

It can be divided in two parts, 48 and 45000006, that added together give a palindrome (45000054).

The spelling of 4845000006 in words is "four billion, eight hundred forty-five million, six", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 79 99 126 154 158 198 231 237 462 474 553 693 711 869 1106 1386 1422 1659 1738 2607 3318 4977 5214 6083 7821 9954 12166 15642 18249 36498 44249 54747 88498 109494 132747 265494 309743 398241 486739 619486 796482 929229 973478 1460217 1858458 2787687 2920434 3407173 3495671 4380651 5575374 6814346 6991342 8761302 10221519 10487013 20443038 20974026 24469697 30664557 31461039 38452381 48939394 61329114 62922078 73409091 76904762 115357143 146818182 220227273 230714286 269166667 346071429 440454546 538333334 692142858 807500001 1615000002 2422500003 4845000006