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12674951485440 = 211351939295527
BaseRepresentation
bin1011100001110001110111…
…1110110001100000000000
31122212201021011101010020220
42320130131332301200000
53130131300040013230
642542443050503040
72445510053664546
oct270343576614000
948781234333226
1012674951485440
1140474647507a2
1215085a7734a80
1370c32056807a
1431b68430bd96
1516ea87e20d10
hexb871dfb1800

12674951485440 has 384 divisors, whose sum is σ = 42702738624000. Its totient is φ = 3200698810368.

The previous prime is 12674951485423. The next prime is 12674951485499. The reversal of 12674951485440 is 4458415947621.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2293275957 + ... + 2293281483.

It is an arithmetic number, because the mean of its divisors is an integer number (111205048500).

Almost surely, 212674951485440 is an apocalyptic number.

12674951485440 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 12674951485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21351369312000).

12674951485440 is an abundant number, since it is smaller than the sum of its proper divisors (30027787138560).

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

12674951485440 is a wasteful number, since it uses less digits than its factorization.

12674951485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9505 (or 9485 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 12674951485440 in words is "twelve trillion, six hundred seventy-four billion, nine hundred fifty-one million, four hundred eighty-five thousand, four hundred forty".