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38843229348 = 2233711171914461
BaseRepresentation
bin100100001011001111…
…001010010010100100
310201021001101111111000
4210023033022102210
51114022331314343
625502213113300
72543400000420
oct441317122244
9121231344430
1038843229348
1115522a99140
127640628830
1338805157a1
141c46ad1b80
151025189ed3
hex90b3ca4a4

38843229348 has 384 divisors, whose sum is σ = 139945881600. Its totient is φ = 8995276800.

The previous prime is 38843229323. The next prime is 38843229353. The reversal of 38843229348 is 84392234883.

38843229348 is a `hidden beast` number, since 3 + 88 + 432 + 2 + 93 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 38843229294 and 38843229303.

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, 2678838 + ... + 2693298.

It is an arithmetic number, because the mean of its divisors is an integer number (364442400).

Almost surely, 238843229348 is an apocalyptic number.

38843229348 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 38843229348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69972940800).

38843229348 is an abundant number, since it is smaller than the sum of its proper divisors (101102652252).

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

38843229348 is a wasteful number, since it uses less digits than its factorization.

38843229348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14528 (or 14520 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 38843229348 in words is "thirty-eight billion, eight hundred forty-three million, two hundred twenty-nine thousand, three hundred forty-eight".