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38915137224 = 233223139293577
BaseRepresentation
bin100100001111100001…
…011101111011001000
310201110001200210112200
4210033201131323020
51114144233342344
625513302240200
72545232131365
oct441741357310
9121401623480
1038915137224
111555a642637
127660726060
1338923a1822
141c5248d46c
15102b641069
hex90f85dec8

38915137224 has 192 divisors, whose sum is σ = 111339446400. Its totient is φ = 12255141888.

The previous prime is 38915137193. The next prime is 38915137229. The reversal of 38915137224 is 42273151983.

It is a happy number.

38915137224 is a `hidden beast` number, since 389 + 15 + 1 + 37 + 224 = 666.

38915137224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 38915137224.

It is not an unprimeable number, because it can be changed into a prime (38915137229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67443624 + ... + 67444200.

It is an arithmetic number, because the mean of its divisors is an integer number (579892950).

Almost surely, 238915137224 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 38915137224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55669723200).

38915137224 is an abundant number, since it is smaller than the sum of its proper divisors (72424309176).

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

38915137224 is a wasteful number, since it uses less digits than its factorization.

38915137224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1037 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 38915137224 in words is "thirty-eight billion, nine hundred fifteen million, one hundred thirty-seven thousand, two hundred twenty-four".