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12195176448 = 213372131941
BaseRepresentation
bin10110101101110001…
…11010000000000000
31011110220101011002210
423112320322000000
5144433431121243
65334040542120
7611131201200
oct132670720000
934426334083
1012195176448
11519894a624
122444181940
1311c4720450
14839906400
154b5975933
hex2d6e3a000

12195176448 has 672 divisors, whose sum is σ = 43927410240. Its totient is φ = 2972712960.

The previous prime is 12195176447. The next prime is 12195176473. The reversal of 12195176448 is 84467159121.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 12195176397 and 12195176406.

It is not an unprimeable number, because it can be changed into a prime (12195176447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297443308 + ... + 297443348.

It is an arithmetic number, because the mean of its divisors is an integer number (65368170).

Almost surely, 212195176448 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 12195176448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21963705120).

12195176448 is an abundant number, since it is smaller than the sum of its proper divisors (31732233792).

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

12195176448 is a wasteful number, since it uses less digits than its factorization.

12195176448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 85 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The spelling of 12195176448 in words is "twelve billion, one hundred ninety-five million, one hundred seventy-six thousand, four hundred forty-eight".