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6465220061040 = 24325133140015569
BaseRepresentation
bin101111000010100110100…
…1001010010011101110000
3211220001212022011022012100
41132011031021102131300
51321411232313423130
621430025303300400
71235045115533556
oct136051511223560
924801768138170
106465220061040
1120729801a3a44
1288500514a700
1337b88aa46320
14184cbdc2bbd6
15b3296508c60
hex5e14d252770

6465220061040 has 480 divisors, whose sum is σ = 24147189480960. Its totient is φ = 1539440640000.

The previous prime is 6465220060933. The next prime is 6465220061057. The reversal of 6465220061040 is 401600225646.

6465220061040 is a `hidden beast` number, since 646 + 5 + 2 + 2 + 0 + 0 + 6 + 1 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×64652200610402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6465220060986 and 6465220061004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1160927376 + ... + 1160932944.

It is an arithmetic number, because the mean of its divisors is an integer number (50306644752).

Almost surely, 26465220061040 is an apocalyptic number.

6465220061040 is a gapful number since it is divisible by the number (60) 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 6465220061040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12073594740480).

6465220061040 is an abundant number, since it is smaller than the sum of its proper divisors (17681969419920).

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

6465220061040 is a wasteful number, since it uses less digits than its factorization.

6465220061040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9633 (or 9624 counting only the distinct ones).

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

Adding to 6465220061040 its reverse (401600225646), we get a palindrome (6866820286686).

The spelling of 6465220061040 in words is "six trillion, four hundred sixty-five billion, two hundred twenty million, sixty-one thousand, forty".