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393938749064 = 23717471072769
BaseRepresentation
bin1011011101110001001…
…01000100011010001000
31101122211021020220211102
411232320211010122020
522423241304432224
6500550054320532
740314112055330
oct5567045043210
91348737226742
10393938749064
11142083176903
1264421359148
132b1c0978123
14150d11ac0c0
15a3a97124ae
hex5bb8944688

393938749064 has 192 divisors, whose sum is σ = 922636915200. Its totient is φ = 153865027584.

The previous prime is 393938749033. The next prime is 393938749067. The reversal of 393938749064 is 460947839393.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393938749067) 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 47 ways as a sum of consecutive naturals, for example, 512273672 + ... + 512274440.

It is an arithmetic number, because the mean of its divisors is an integer number (4805400600).

Almost surely, 2393938749064 is an apocalyptic number.

393938749064 is a gapful number since it is divisible by the number (34) 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 393938749064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461318457600).

393938749064 is an abundant number, since it is smaller than the sum of its proper divisors (528698166136).

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

393938749064 is a wasteful number, since it uses less digits than its factorization.

393938749064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 65.

The spelling of 393938749064 in words is "three hundred ninety-three billion, nine hundred thirty-eight million, seven hundred forty-nine thousand, sixty-four".