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38871447552 = 2113272193223
BaseRepresentation
bin100100001100111010…
…110011100000000000
310201100000111010120200
4210030322303200000
51114102042310202
625505102005200
72544161565300
oct441472634000
9121300433520
1038871447552
1115537a11973
127649b76800
133886315752
141c4a759600
1510278b0e1c
hex90ceb3800

38871447552 has 432 divisors, whose sum is σ = 131862669120. Its totient is φ = 10999037952.

The previous prime is 38871447467. The next prime is 38871447569. The reversal of 38871447552 is 25574417883.

38871447552 is a `hidden beast` number, since 3 + 8 + 87 + 1 + 4 + 4 + 7 + 552 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 174311313 + ... + 174311535.

It is an arithmetic number, because the mean of its divisors is an integer number (305237660).

Almost surely, 238871447552 is an apocalyptic number.

38871447552 is a gapful number since it is divisible by the number (32) 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 38871447552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65931334560).

38871447552 is an abundant number, since it is smaller than the sum of its proper divisors (92991221568).

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

38871447552 is a wasteful number, since it uses less digits than its factorization.

38871447552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 428 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The spelling of 38871447552 in words is "thirty-eight billion, eight hundred seventy-one million, four hundred forty-seven thousand, five hundred fifty-two".