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12009890640 = 243511291031523
BaseRepresentation
bin10110010111101100…
…00110001101010000
31010222222201122202110
423023312012031100
5144044013000030
65303421345320
7603421246266
oct131366061520
933888648673
1012009890640
1151032a7660
1223b2108240
131195218687
1481d074436
154a45761b0
hex2cbd86350

12009890640 has 320 divisors, whose sum is σ = 42451568640. Its totient is φ = 2781972480.

The previous prime is 12009890639. The next prime is 12009890653. The reversal of 12009890640 is 4609890021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7884919 + ... + 7886441.

It is an arithmetic number, because the mean of its divisors is an integer number (132661152).

Almost surely, 212009890640 is an apocalyptic number.

12009890640 is a gapful number since it is divisible by the number (10) 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 12009890640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21225784320).

12009890640 is an abundant number, since it is smaller than the sum of its proper divisors (30441678000).

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

12009890640 is a wasteful number, since it uses less digits than its factorization.

12009890640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 12009890640 in words is "twelve billion, nine million, eight hundred ninety thousand, six hundred forty".