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12002977008 = 24331119373593
BaseRepresentation
bin10110010110110111…
…01110010011110000
31010222111201102001000
423023123232103300
5144040230231013
65303013242000
7603305423031
oct131333562360
933874642030
1012002977008
1150aa405310
1223ab933300
131193967879
1481c194a88
154a3b5c973
hex2cb6ee4f0

12002977008 has 320 divisors, whose sum is σ = 40643827200. Its totient is φ = 3351767040.

The previous prime is 12002977001. The next prime is 12002977013. The reversal of 12002977008 is 80077920021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002977001) 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 63 ways as a sum of consecutive naturals, for example, 3338860 + ... + 3342452.

It is an arithmetic number, because the mean of its divisors is an integer number (127011960).

Almost surely, 212002977008 is an apocalyptic number.

12002977008 is a gapful number since it is divisible by the number (18) 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 12002977008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321913600).

12002977008 is an abundant number, since it is smaller than the sum of its proper divisors (28640850192).

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

12002977008 is a wasteful number, since it uses less digits than its factorization.

12002977008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 12002977008 in words is "twelve billion, two million, nine hundred seventy-seven thousand, eight".