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6489377664 = 2737114153101
BaseRepresentation
bin1100000101100110…
…00000101110000000
3121202020220112121220
412002303000232000
5101242240041124
62551533515040
7316545541260
oct60263005600
917666815556
106489377664
1128300a2540
121311342a80
137c55a1c53
14457bdb7a0
1527eaa3879
hex182cc0b80

6489377664 has 512 divisors, whose sum is σ = 22652421120. Its totient is φ = 1597440000.

The previous prime is 6489377651. The next prime is 6489377677. The reversal of 6489377664 is 4667739846.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6489377651) and next prime (6489377677).

It is a super-2 number, since 2×64893776642 = 84224044932044193792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6489377598 and 6489377607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64251214 + ... + 64251314.

It is an arithmetic number, because the mean of its divisors is an integer number (44243010).

Almost surely, 26489377664 is an apocalyptic number.

6489377664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6489377664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11326210560).

6489377664 is an abundant number, since it is smaller than the sum of its proper divisors (16163043456).

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

6489377664 is a wasteful number, since it uses less digits than its factorization.

6489377664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 218 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 60.

The square root of 6489377664 is about 80556.6736155360. The cubic root of 6489377664 is about 1865.2384090518.

The spelling of 6489377664 in words is "six billion, four hundred eighty-nine million, three hundred seventy-seven thousand, six hundred sixty-four".