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6469075440 = 243258984827
BaseRepresentation
bin1100000011001011…
…00100000111110000
3121200211201002012200
412001211210013300
5101222040403230
62545530423200
7316211143152
oct60145440760
917624632180
106469075440
11281a696143
121306591b00
137c13140b9
14455234ad2
1527cde3160
hex1819641f0

6469075440 has 60 divisors (see below), whose sum is σ = 21725314104. Its totient is φ = 1725086592.

The previous prime is 6469075411. The next prime is 6469075447. The reversal of 6469075440 is 445709646.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×64690754402 = 83697874096822387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6469075447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4491694 + ... + 4493133.

Almost surely, 26469075440 is an apocalyptic number.

6469075440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6469075440 is an abundant number, since it is smaller than the sum of its proper divisors (15256238664).

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

6469075440 is a wasteful number, since it uses less digits than its factorization.

6469075440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8984846 (or 8984837 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 6469075440 is about 80430.5628477136. The cubic root of 6469075440 is about 1863.2912245060.

The spelling of 6469075440 in words is "six billion, four hundred sixty-nine million, seventy-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 8984827 17969654 26954481 35939308 44924135 53908962 71878616 80863443 89848270 107817924 134772405 143757232 161726886 179696540 215635848 269544810 323453772 359393080 404317215 431271696 539089620 646907544 718786160 808634430 1078179240 1293815088 1617268860 2156358480 3234537720 6469075440