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39992423328 = 25331113477197
BaseRepresentation
bin100101001111101110…
…111111001110100000
310211020010210121021000
4211033232333032200
51123401030021303
630212224232000
72614022663244
oct451756771640
9124203717230
1039992423328
1115a62753630
12790146b600
133a0462ba20
141d15598424
151090edbda3
hex94fbbf3a0

39992423328 has 768 divisors, whose sum is σ = 143386951680. Its totient is φ = 10683187200.

The previous prime is 39992423293. The next prime is 39992423333. The reversal of 39992423328 is 82332429993.

It is a happy number.

39992423328 is a `hidden beast` number, since 399 + 9 + 242 + 3 + 3 + 2 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 412292976 + ... + 412293072.

It is an arithmetic number, because the mean of its divisors is an integer number (186701760).

Almost surely, 239992423328 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 39992423328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71693475840).

39992423328 is an abundant number, since it is smaller than the sum of its proper divisors (103394528352).

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

39992423328 is a wasteful number, since it uses less digits than its factorization.

39992423328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The spelling of 39992423328 in words is "thirty-nine billion, nine hundred ninety-two million, four hundred twenty-three thousand, three hundred twenty-eight".