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12109853970 = 235523389557
BaseRepresentation
bin10110100011100110…
…11011010100010010
31011020221211022200000
423101303123110102
5144300110311340
65321352110430
7606044026464
oct132163332422
934227738600
1012109853970
115154773585
12241b695416
1311acb48586
1482c456134
154ad21ed30
hex2d1cdb512

12109853970 has 192 divisors, whose sum is σ = 34220309760. Its totient is φ = 3075418368.

The previous prime is 12109853957. The next prime is 12109853999. The reversal of 12109853970 is 7935890121.

12109853970 is a `hidden beast` number, since 1 + 2 + 109 + 8 + 539 + 7 + 0 = 666.

12109853970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21740932 + ... + 21741488.

It is an arithmetic number, because the mean of its divisors is an integer number (178230780).

Almost surely, 212109853970 is an apocalyptic number.

12109853970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12109853970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17110154880).

12109853970 is an abundant number, since it is smaller than the sum of its proper divisors (22110455790).

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

12109853970 is a wasteful number, since it uses less digits than its factorization.

12109853970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 12109853970 in words is "twelve billion, one hundred nine million, eight hundred fifty-three thousand, nine hundred seventy".