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38449881900 = 223452431011093
BaseRepresentation
bin100011110011110010…
…101010001100101100
310200020122020101020000
4203303302222030230
51112221132210100
625355202224300
72530552414023
oct436362521454
9120218211200
1038449881900
1115340a57401
127550955090
133819b93211
141c0a77d8ba
15100088c900
hex8f3caa32c

38449881900 has 360 divisors, whose sum is σ = 128918509104. Its totient is φ = 9906624000.

The previous prime is 38449881863. The next prime is 38449881923. The reversal of 38449881900 is 918894483.

38449881900 is a `hidden beast` number, since 3 + 8 + 449 + 8 + 8 + 190 + 0 = 666.

38449881900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×384498819002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 35177754 + ... + 35178846.

Almost surely, 238449881900 is an apocalyptic number.

38449881900 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 38449881900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64459254552).

38449881900 is an abundant number, since it is smaller than the sum of its proper divisors (90468627204).

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

38449881900 is a wasteful number, since it uses less digits than its factorization.

38449881900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 38449881900 in words is "thirty-eight billion, four hundred forty-nine million, eight hundred eighty-one thousand, nine hundred".