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3949738467840 = 293351137140401
BaseRepresentation
bin111001011110011110110…
…000100010001000000000
3111222120222001202022122000
4321132132300202020000
51004203031021432330
612222252414544000
7555234126014664
oct71363660421000
914876861668560
103949738467840
111293090439640
1253959b508000
132285c6b09269
14d924ddb08a4
156cb1d6a4560
hex3979ec22200

3949738467840 has 640 divisors, whose sum is σ = 15719003562240. Its totient is φ = 931627008000.

The previous prime is 3949738467817. The next prime is 3949738467841. The reversal of 3949738467840 is 487648379493.

It is a happy number.

3949738467840 is a `hidden beast` number, since 3 + 9 + 4 + 97 + 38 + 467 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (3949738467841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28061640 + ... + 28202040.

It is an arithmetic number, because the mean of its divisors is an integer number (24560943066).

Almost surely, 23949738467840 is an apocalyptic number.

3949738467840 is a gapful number since it is divisible by the number (30) 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 3949738467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7859501781120).

3949738467840 is an abundant number, since it is smaller than the sum of its proper divisors (11769265094400).

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

3949738467840 is a wasteful number, since it uses less digits than its factorization.

3949738467840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140481 (or 140459 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 3949738467840 in words is "three trillion, nine hundred forty-nine billion, seven hundred thirty-eight million, four hundred sixty-seven thousand, eight hundred forty".