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38404827000 = 2333539831447
BaseRepresentation
bin100011110001000110…
…110010011101111000
310200010111110100112000
4203301012302131320
51112123113431000
625350512421000
72526464433441
oct436106623570
9120114410460
1038404827000
1115318583a51
127539847760
133810749907
141c047b22c8
15eeb93d000
hex8f11b2778

38404827000 has 256 divisors, whose sum is σ = 133364275200. Its totient is φ = 10223798400.

The previous prime is 38404826987. The next prime is 38404827017. The reversal of 38404827000 is 72840483.

38404827000 is a `hidden beast` number, since 384 + 0 + 4 + 8 + 270 + 0 + 0 = 666.

38404827000 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-3 number, since 3×384048270003 (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26540277 + ... + 26541723.

It is an arithmetic number, because the mean of its divisors is an integer number (520954200).

Almost surely, 238404827000 is an apocalyptic number.

38404827000 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 38404827000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66682137600).

38404827000 is an abundant number, since it is smaller than the sum of its proper divisors (94959448200).

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

38404827000 is a wasteful number, since it uses less digits than its factorization.

38404827000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 38404827000 in words is "thirty-eight billion, four hundred four million, eight hundred twenty-seven thousand".