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12006825024 = 263211296377
BaseRepresentation
bin10110010111010100…
…11001110001000000
31010222202221220112010
423023222121301000
5144042221400044
65303231532520
7603353220525
oct131352316100
933882856463
1012006825024
1151015a3397
1223b108a140
1311946b41bc
1481c8b714c
154a416cbb9
hex2cba99c40

12006825024 has 56 divisors (see below), whose sum is σ = 31918725088. Its totient is φ = 3983293440.

The previous prime is 12006825013. The next prime is 12006825029. The reversal of 12006825024 is 42052860021.

It is a super-3 number, since 3×120068250243 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12006824982 and 12006825000.

It is not an unprimeable number, because it can be changed into a prime (12006825029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107677 + ... + 188700.

Almost surely, 212006825024 is an apocalyptic number.

It is an amenable number.

12006825024 is an abundant number, since it is smaller than the sum of its proper divisors (19911900064).

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

12006825024 is a wasteful number, since it uses less digits than its factorization.

12006825024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296603 (or 296593 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 12006825024 in words is "twelve billion, six million, eight hundred twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 211 422 633 844 1266 1688 2532 3376 5064 6752 10128 13504 20256 40512 296377 592754 889131 1185508 1778262 2371016 3556524 4742032 7113048 9484064 14226096 18968128 28452192 56904384 62535547 125071094 187606641 250142188 375213282 500284376 750426564 1000568752 1500853128 2001137504 3001706256 4002275008 6003412512 12006825024