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38326548480 = 2113511293911
BaseRepresentation
bin100011101100011100…
…001011100000000000
310122221001011101120120
4203230130023200000
51111443044022410
625335034540240
72524524200253
oct435434134000
9118831141516
1038326548480
1115288379160
127517597680
1337ca46cc6c
141bd823709a
15ee4b29570
hex8ec70b800

38326548480 has 384 divisors, whose sum is σ = 138409689600. Its totient is φ = 8968601600.

The previous prime is 38326548439. The next prime is 38326548487. The reversal of 38326548480 is 8484562383.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38326548487) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9797725 + ... + 9801635.

It is an arithmetic number, because the mean of its divisors is an integer number (360441900).

Almost surely, 238326548480 is an apocalyptic number.

38326548480 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 38326548480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69204844800).

38326548480 is an abundant number, since it is smaller than the sum of its proper divisors (100083141120).

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

38326548480 is a wasteful number, since it uses less digits than its factorization.

38326548480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 38326548480 in words is "thirty-eight billion, three hundred twenty-six million, five hundred forty-eight thousand, four hundred eighty".