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4074836434812 = 22341121361131071
BaseRepresentation
bin111011010010111111001…
…011011001111101111100
3112102112212100122111010000
4323102333023121331330
51013230231111403222
612355542022314300
7600253150131603
oct73227713317574
915375770574100
104074836434812
111331145a33800
12559892588990
13237342233520
1410131a3daa3a
1570ee0eb39ac
hex3b4bf2d9f7c

4074836434812 has 360 divisors, whose sum is σ = 12816360144896. Its totient is φ = 1121120352000.

The previous prime is 4074836434769. The next prime is 4074836434819. The reversal of 4074836434812 is 2184346384704.

4074836434812 is a `hidden beast` number, since 40 + 7 + 4 + 83 + 6 + 43 + 481 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4074836434819) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31023237 + ... + 31154307.

Almost surely, 24074836434812 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 4074836434812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6408180072448).

4074836434812 is an abundant number, since it is smaller than the sum of its proper divisors (8741523710084).

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

4074836434812 is a wasteful number, since it uses less digits than its factorization.

4074836434812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131183 (or 131161 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 4074836434812 in words is "four trillion, seventy-four billion, eight hundred thirty-six million, four hundred thirty-four thousand, eight hundred twelve".