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38730831048 = 23367131923167
BaseRepresentation
bin100100000100100010…
…011001010011001000
310200222012220002000000
4210010202121103020
51113310043043143
625443120043000
72540533426530
oct440442312310
9120865802000
1038730831048
11154755a9688
12760aa63460
133863150910
141c35bd44c0
15101a386bd3
hex9048994c8

38730831048 has 896 divisors, whose sum is σ = 148074393600. Its totient is φ = 9200936448.

The previous prime is 38730831037. The next prime is 38730831049. The reversal of 38730831048 is 84013803783.

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

It is a junction number, because it is equal to n+sod(n) for n = 38730830994 and 38730831012.

It is not an unprimeable number, because it can be changed into a prime (38730831049) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 231921061 + ... + 231921227.

It is an arithmetic number, because the mean of its divisors is an integer number (165261600).

Almost surely, 238730831048 is an apocalyptic number.

38730831048 is a gapful number since it is divisible by the number (38) 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 38730831048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74037196800).

38730831048 is an abundant number, since it is smaller than the sum of its proper divisors (109343562552).

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

38730831048 is a wasteful number, since it uses less digits than its factorization.

38730831048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 38730831048 in words is "thirty-eight billion, seven hundred thirty million, eight hundred thirty-one thousand, forty-eight".