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388939221216 = 253271353280009
BaseRepresentation
bin1011010100011101001…
…01011000100011100000
31101011220211202120221100
411222032211120203200
522333021420034331
6454402021154400
740046163555360
oct5521645304340
91334824676840
10388939221216
1113aa48061607
1263466b5ba00
132a8a4c53420
1414b791d09a0
15a1b5850ae6
hex5a8e9588e0

388939221216 has 288 divisors, whose sum is σ = 1386976893120. Its totient is φ = 100641595392.

The previous prime is 388939221211. The next prime is 388939221233. The reversal of 388939221216 is 612122939883.

388939221216 is a `hidden beast` number, since 38 + 8 + 9 + 392 + 2 + 1 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388939221211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1249020 + ... + 1529028.

It is an arithmetic number, because the mean of its divisors is an integer number (4815891990).

Almost surely, 2388939221216 is an apocalyptic number.

388939221216 is a gapful number since it is divisible by the number (36) 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 388939221216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693488446560).

388939221216 is an abundant number, since it is smaller than the sum of its proper divisors (998037671904).

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

388939221216 is a wasteful number, since it uses less digits than its factorization.

388939221216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280098 (or 280087 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 388939221216 in words is "three hundred eighty-eight billion, nine hundred thirty-nine million, two hundred twenty-one thousand, two hundred sixteen".