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12674195464896 = 2633724111233251
BaseRepresentation
bin1011100001101111000011…
…1010110010001011000000
31122212122022110210022001000
42320123300322302023000
53130123223014334041
642542240042412000
72445452243632200
oct270336072621300
948778273708030
1012674195464896
114047106a19329
121508416501000
1370c22ca43134
1431b611b50400
1516ea41884bb6
hexb86f0eb22c0

12674195464896 has 672 divisors, whose sum is σ = 44453371656960. Its totient is φ = 3528645120000.

The previous prime is 12674195464891. The next prime is 12674195464901. The reversal of 12674195464896 is 69846459147621.

12674195464896 is a `hidden beast` number, since 1 + 2 + 6 + 74 + 1 + 9 + 5 + 464 + 8 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (12674195464891) and next prime (12674195464901).

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 (72).

It is not an unprimeable number, because it can be changed into a prime (12674195464891) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3898551271 + ... + 3898554521.

It is an arithmetic number, because the mean of its divisors is an integer number (66150850680).

Almost surely, 212674195464896 is an apocalyptic number.

12674195464896 is a gapful number since it is divisible by the number (16) 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 12674195464896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22226685828480).

12674195464896 is an abundant number, since it is smaller than the sum of its proper divisors (31779176192064).

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

12674195464896 is a wasteful number, since it uses less digits than its factorization.

12674195464896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450 (or 4427 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 12674195464896 in words is "twelve trillion, six hundred seventy-four billion, one hundred ninety-five million, four hundred sixty-four thousand, eight hundred ninety-six".