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3981700449792 = 293213197614597
BaseRepresentation
bin111001111100001111110…
…101110100011000000000
3112002122110112212020021100
4321330033311310120000
51010214010303343132
612245100135054400
7560445151253562
oct71741765643000
915078415766240
103981700449792
1112a56a211275a
1254381b511400
1322b61b7c7010
14daa02c19332
156d88e68137c
hex39f0fd74600

3981700449792 has 480 divisors, whose sum is σ = 13046708394720. Its totient is φ = 1158880296960.

The previous prime is 3981700449751. The next prime is 3981700449799. The reversal of 3981700449792 is 2979440071893.

3981700449792 is a `hidden beast` number, since 3 + 98 + 17 + 0 + 0 + 449 + 7 + 92 = 666.

3981700449792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×39817004497923 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3981700449799) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 866149638 + ... + 866154234.

It is an arithmetic number, because the mean of its divisors is an integer number (27180642489).

Almost surely, 23981700449792 is an apocalyptic number.

3981700449792 is a gapful number since it is divisible by the number (32) 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 3981700449792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6523354197360).

3981700449792 is an abundant number, since it is smaller than the sum of its proper divisors (9065007944928).

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

3981700449792 is a wasteful number, since it uses less digits than its factorization.

3981700449792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5414 (or 5395 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 3981700449792 in words is "three trillion, nine hundred eighty-one billion, seven hundred million, four hundred forty-nine thousand, seven hundred ninety-two".