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39050104320 = 2933517167199
BaseRepresentation
bin100100010111100100…
…010100111000000000
310201210110122211121000
4210113210110320000
51114433311314240
625534523132000
72551461260433
oct442744247000
9121713584530
1039050104320
1115619847397
127699974000
1338b4339106
141c6638381a
151038401430
hex917914e00

39050104320 has 640 divisors, whose sum is σ = 148490496000. Its totient is φ = 9693167616.

The previous prime is 39050104231. The next prime is 39050104321. The reversal of 39050104320 is 2340105093.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39050104321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196231581 + ... + 196231779.

It is an arithmetic number, because the mean of its divisors is an integer number (232016400).

Almost surely, 239050104320 is an apocalyptic number.

39050104320 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 39050104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74245248000).

39050104320 is an abundant number, since it is smaller than the sum of its proper divisors (109440391680).

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

39050104320 is a wasteful number, since it uses less digits than its factorization.

39050104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 39050104320 in words is "thirty-nine billion, fifty million, one hundred four thousand, three hundred twenty".