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38095912008 = 233372112151197
BaseRepresentation
bin100011011110101100…
…010111110001001000
310122022222011211211000
4203132230113301020
51111010023141013
625300115335000
72516023623600
oct433654276110
9118288154730
1038095912008
111517a170600
1274722b1460
13379174a08b
141bb575bc00
15ece76c973
hex8deb17c48

38095912008 has 576 divisors, whose sum is σ = 136894665600. Its totient is φ = 9779616000.

The previous prime is 38095912003. The next prime is 38095912033. The reversal of 38095912008 is 80021959083.

It is a happy number.

38095912008 is a `hidden beast` number, since 38 + 0 + 9 + 591 + 20 + 0 + 8 = 666.

38095912008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (38095912003) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 193380166 + ... + 193380362.

It is an arithmetic number, because the mean of its divisors is an integer number (237664350).

Almost surely, 238095912008 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 38095912008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68447332800).

38095912008 is an abundant number, since it is smaller than the sum of its proper divisors (98798753592).

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

38095912008 is a wasteful number, since it uses less digits than its factorization.

38095912008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 38095912008 in words is "thirty-eight billion, ninety-five million, nine hundred twelve thousand, eight".