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4123085463 = 3371767107179
BaseRepresentation
bin1111010111000001…
…0100101010010111
3101122100022102222000
43311300110222113
531421002213323
61521044010343
7204113435220
oct36560245227
911570272860
104123085463
111826413152
129709909b3
13509288b53
142b1834247
15191e89e43
hexf5c14a97

4123085463 has 128 divisors (see below), whose sum is σ = 7614259200. Its totient is φ = 2151857664.

The previous prime is 4123085431. The next prime is 4123085509. The reversal of 4123085463 is 3645803214.

It is not a de Polignac number, because 4123085463 - 25 = 4123085431 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4123085413) 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 127 ways as a sum of consecutive naturals, for example, 23033908 + ... + 23034086.

It is an arithmetic number, because the mean of its divisors is an integer number (59486400).

Almost surely, 24123085463 is an apocalyptic number.

4123085463 is a deficient number, since it is larger than the sum of its proper divisors (3491173737).

4123085463 is a wasteful number, since it uses less digits than its factorization.

4123085463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4123085463 is about 64211.2565131691. The cubic root of 4123085463 is about 1603.5190076862.

Adding to 4123085463 its reverse (3645803214), we get a palindrome (7768888677).

The spelling of 4123085463 in words is "four billion, one hundred twenty-three million, eighty-five thousand, four hundred sixty-three".

Divisors: 1 3 7 9 17 21 27 51 63 67 107 119 153 179 189 201 321 357 459 469 537 603 749 963 1071 1139 1253 1407 1611 1809 1819 2247 2889 3043 3213 3417 3759 4221 4833 5457 6741 7169 7973 9129 10251 11277 11993 12663 12733 16371 19153 20223 21301 21507 23919 27387 30753 33831 35979 38199 49113 50183 57459 63903 64521 71757 82161 83951 107937 114597 121873 134071 150549 172377 191709 193563 203881 215271 251853 323811 325601 343791 365619 402213 451647 517131 575127 611643 755559 853111 976803 1096857 1206639 1283251 1354941 1427167 1834929 2266677 2279207 2559333 2930409 3290571 3619917 3849753 4281501 5504787 6837621 7677999 8791227 8982757 11549259 12844503 20512863 21815267 23033997 26948271 34647777 38533509 61538589 65445801 80844813 152706869 196337403 242534439 458120607 589012209 1374361821 4123085463