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6480514040 = 235711132331227
BaseRepresentation
bin1100000100100010…
…01100101111111000
3121201122020020000112
412002101030233320
5101233002422130
62551015523452
7316410313640
oct60221145770
917648206015
106480514040
112826099130
12130a389588
137c37ba6c0
14456971520
1527de02495
hex18244cbf8

6480514040 has 512 divisors, whose sum is σ = 21180579840. Its totient is φ = 1718323200.

The previous prime is 6480514021. The next prime is 6480514057. The reversal of 6480514040 is 404150846.

It is a junction number, because it is equal to n+sod(n) for n = 6480513988 and 6480514006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28548407 + ... + 28548633.

It is an arithmetic number, because the mean of its divisors is an integer number (41368320).

Almost surely, 26480514040 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 6480514040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10590289920).

6480514040 is an abundant number, since it is smaller than the sum of its proper divisors (14700065800).

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

6480514040 is a wasteful number, since it uses less digits than its factorization.

6480514040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 6480514040 is about 80501.6399832948. The cubic root of 6480514040 is about 1864.3887998552.

Adding to 6480514040 its reverse (404150846), we get a palindrome (6884664886).

The spelling of 6480514040 in words is "six billion, four hundred eighty million, five hundred fourteen thousand, forty".