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39137213808 = 2432711331941
BaseRepresentation
bin100100011100110000…
…100111110101110000
310202000112120110100100
4210130300213311300
51120123111320213
625551314152400
72553566554110
oct443460476560
9122015513310
1039137213808
1115663a34000
127702b82700
1338c93b84a4
141c73b7b040
151040dab773
hex91cc27d70

39137213808 has 480 divisors, whose sum is σ = 142277750784. Its totient is φ = 9827136000.

The previous prime is 39137213803. The next prime is 39137213861. The reversal of 39137213808 is 80831273193.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39137213803) 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 95 ways as a sum of consecutive naturals, for example, 41590618 + ... + 41591558.

Almost surely, 239137213808 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 39137213808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71138875392).

39137213808 is an abundant number, since it is smaller than the sum of its proper divisors (103140536976).

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

39137213808 is a wasteful number, since it uses less digits than its factorization.

39137213808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 39137213808 in words is "thirty-nine billion, one hundred thirty-seven million, two hundred thirteen thousand, eight hundred eight".