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38374421904 = 243271319791951
BaseRepresentation
bin100011101111010010…
…110011010110010000
310200001101020121120100
4203233102303112100
51112042323000104
625343505012400
72525645130030
oct435722632620
9120041217510
1038374421904
11153023a7175
12752b624100
133807362430
141c007398c0
15ee8e34139
hex8ef4b3590

38374421904 has 480 divisors, whose sum is σ = 140968755200. Its totient is φ = 9461836800.

The previous prime is 38374421903. The next prime is 38374421927. The reversal of 38374421904 is 40912447383.

38374421904 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 38374421904.

It is not an unprimeable number, because it can be changed into a prime (38374421903) 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, 19668129 + ... + 19670079.

Almost surely, 238374421904 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 38374421904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70484377600).

38374421904 is an abundant number, since it is smaller than the sum of its proper divisors (102594333296).

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

38374421904 is a wasteful number, since it uses less digits than its factorization.

38374421904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 38374421904 in words is "thirty-eight billion, three hundred seventy-four million, four hundred twenty-one thousand, nine hundred four".