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664465472256 = 2831543560719
BaseRepresentation
bin10011010101101010011…
…10100111101100000000
32100112002202000100120210
421222311032213230000
541341311130103011
61225130133034120
766002034216165
oct11526516475400
92315082010523
10664465472256
11236886488aa3
12a8940185940
134a874592371
1424235c1606c
151243e63d6a6
hex9ab53a7b00

664465472256 has 72 divisors (see below), whose sum is σ = 1769596433920. Its totient is φ = 221344551936.

The previous prime is 664465472219. The next prime is 664465472257. The reversal of 664465472256 is 652274564466.

It is a junction number, because it is equal to n+sod(n) for n = 664465472196 and 664465472205.

It is not an unprimeable number, because it can be changed into a prime (664465472257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 904665 + ... + 1465383.

Almost surely, 2664465472256 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 664465472256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884798216960).

664465472256 is an abundant number, since it is smaller than the sum of its proper divisors (1105130961664).

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

664465472256 is a wasteful number, since it uses less digits than its factorization.

664465472256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562281 (or 562267 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 57.

The spelling of 664465472256 in words is "six hundred sixty-four billion, four hundred sixty-five million, four hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1543 3086 4629 6172 9258 12344 18516 24688 37032 49376 74064 98752 148128 197504 296256 395008 560719 592512 1121438 1185024 1682157 2242876 3364314 4485752 6728628 8971504 13457256 17943008 26914512 35886016 53829024 71772032 107658048 143544064 215316096 430632192 865189417 1730378834 2595568251 3460757668 5191136502 6921515336 10382273004 13843030672 20764546008 27686061344 41529092016 55372122688 83058184032 110744245376 166116368064 221488490752 332232736128 664465472256