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38069868928 = 2771319312179
BaseRepresentation
bin100011011101001001…
…000001100110000000
310122021011011201102111
4203131021001212000
51110431341301203
625253345225104
72515256355340
oct433511014600
9118234151374
1038069868928
11151664a2aa3
127465632194
13378922c180
141bb20dcd20
15ecc32626d
hex8dd241980

38069868928 has 384 divisors, whose sum is σ = 102096288000. Its totient is φ = 13730549760.

The previous prime is 38069868913. The next prime is 38069868973. The reversal of 38069868928 is 82986896083.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 212680743 + ... + 212680921.

It is an arithmetic number, because the mean of its divisors is an integer number (265875750).

Almost surely, 238069868928 is an apocalyptic number.

38069868928 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 38069868928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51048144000).

38069868928 is an abundant number, since it is smaller than the sum of its proper divisors (64026419072).

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

38069868928 is a wasteful number, since it uses less digits than its factorization.

38069868928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 67.

The spelling of 38069868928 in words is "thirty-eight billion, sixty-nine million, eight hundred sixty-eight thousand, nine hundred twenty-eight".