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38844922248 = 233311193141677
BaseRepresentation
bin100100001011010101…
…100111100110001000
310201021011120111201000
4210023111213212020
51114023300002443
625502313255000
72543420251116
oct441325474610
9121234514630
1038844922248
1115523a45030
127641104460
1338809891c2
141c47012ab6
1510253c18d3
hex90b567988

38844922248 has 512 divisors, whose sum is σ = 131217408000. Its totient is φ = 10513152000.

The previous prime is 38844922163. The next prime is 38844922351. The reversal of 38844922248 is 84222944883.

38844922248 is a `hidden beast` number, since 38 + 84 + 492 + 2 + 2 + 48 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 38844922194 and 38844922203.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57377686 + ... + 57378362.

It is an arithmetic number, because the mean of its divisors is an integer number (256284000).

Almost surely, 238844922248 is an apocalyptic number.

38844922248 is a gapful number since it is divisible by the number (38) 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 38844922248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65608704000).

38844922248 is an abundant number, since it is smaller than the sum of its proper divisors (92372485752).

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

38844922248 is a wasteful number, since it uses less digits than its factorization.

38844922248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 784 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 38844922248 in words is "thirty-eight billion, eight hundred forty-four million, nine hundred twenty-two thousand, two hundred forty-eight".