Search a number
-
+
6004013463 = 34722952163
BaseRepresentation
bin1011001011101110…
…11111100110010111
3120111102121111010000
411211313133212113
544244011412323
62431434502343
7301533162300
oct54567374627
916442544100
106004013463
1126011221a8
1211b68949b3
13748b727b6
1440d5757a7
1525217be43
hex165ddf997

6004013463 has 60 divisors (see below), whose sum is σ = 10793253240. Its totient is φ = 3312495648.

The previous prime is 6004013453. The next prime is 6004013489. The reversal of 6004013463 is 3643104006.

6004013463 is a `hidden beast` number, since 600 + 4 + 0 + 13 + 46 + 3 = 666.

It is not a de Polignac number, because 6004013463 - 29 = 6004012951 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6004013453) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 89020 + ... + 141182.

It is an arithmetic number, because the mean of its divisors is an integer number (179887554).

Almost surely, 26004013463 is an apocalyptic number.

6004013463 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

6004013463 is a deficient number, since it is larger than the sum of its proper divisors (4789239777).

6004013463 is a wasteful number, since it uses less digits than its factorization.

6004013463 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52218 (or 52202 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 6004013463 is about 77485.5693855314. The cubic root of 6004013463 is about 1817.5256662077.

Adding to 6004013463 its reverse (3643104006), we get a palindrome (9647117469).

The spelling of 6004013463 in words is "six billion, four million, thirteen thousand, four hundred sixty-three".

Divisors: 1 3 7 9 21 27 29 49 63 81 87 147 189 203 261 441 567 609 783 1323 1421 1827 2349 3969 4263 5481 12789 16443 38367 52163 115101 156489 365141 469467 1095423 1408401 1512727 2555987 3286269 4225203 4538181 7667961 9858807 10589089 13614543 23003883 29576421 31767267 40843629 69011649 74123623 95301801 122530887 207034947 222370869 285905403 667112607 857716209 2001337821 6004013463