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38450376000 = 26365319347
BaseRepresentation
bin100011110011110100…
…100010110101000000
310200020200011111000000
4203303310202311000
51112221244013000
625355221000000
72530556542401
oct436364426500
9120220144000
1038450376000
1115341264653
127550b53000
13381a00709a
141c0a86b9a8
151000939000
hex8f3d22d40

38450376000 has 784 divisors, whose sum is σ = 150715431360. Its totient is φ = 9685785600.

The previous prime is 38450375993. The next prime is 38450376001. The reversal of 38450376000 is 67305483.

It is a happy number.

38450376000 is a `hidden beast` number, since 3 + 8 + 45 + 0 + 3 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38450376001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 110807827 + ... + 110808173.

Almost surely, 238450376000 is an apocalyptic number.

38450376000 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 38450376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75357715680).

38450376000 is an abundant number, since it is smaller than the sum of its proper divisors (112265055360).

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

38450376000 is an equidigital number, since it uses as much as digits as its factorization.

38450376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 38450376000 in words is "thirty-eight billion, four hundred fifty million, three hundred seventy-six thousand".