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38838942720 = 210355193153
BaseRepresentation
bin100100001010111110…
…110011110000000000
310201020202022201100000
4210022332303300000
51114020232131340
625501541200000
72543315365104
oct441276636000
9121222281300
1038838942720
1115520630576
12763b100000
13387c674616
141c462d7904
151024aded30
hex90afb3c00

38838942720 has 1056 divisors, whose sum is σ = 154505594880. Its totient is φ = 9316270080.

The previous prime is 38838942629. The next prime is 38838942721. The reversal of 38838942720 is 2724983883.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38838942721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 732810214 + ... + 732810266.

Almost surely, 238838942720 is an apocalyptic number.

38838942720 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 38838942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77252797440).

38838942720 is an abundant number, since it is smaller than the sum of its proper divisors (115666652160).

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

38838942720 is a wasteful number, since it uses less digits than its factorization.

38838942720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 38838942720 in words is "thirty-eight billion, eight hundred thirty-eight million, nine hundred forty-two thousand, seven hundred twenty".