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128347483392 = 2836739421
BaseRepresentation
bin111011110001000011…
…0110010110100000000
3110021021202102201000000
41313202012302310000
54100323423432032
6134543444000000
712162366415452
oct1674206626400
9407252381000
10128347483392
114a482898a27
1220a5b390000
13c14571205b
1462d7c242d2
153512c3de7c
hex1de21b2d00

128347483392 has 252 divisors, whose sum is σ = 389417874244. Its totient is φ = 42191953920.

The previous prime is 128347483351. The next prime is 128347483409. The reversal of 128347483392 is 293384743821.

It is a happy number.

128347483392 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 474 + 83 + 3 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57071298816 + 71276184576 = 238896^2 + 266976^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13618842 + ... + 13628262.

Almost surely, 2128347483392 is an apocalyptic number.

128347483392 is a gapful number since it is divisible by the number (12) 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 128347483392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194708937122).

128347483392 is an abundant number, since it is smaller than the sum of its proper divisors (261070390852).

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

128347483392 is an frugal number, since it uses more digits than its factorization.

128347483392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9528 (or 9499 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 128347483392 in words is "one hundred twenty-eight billion, three hundred forty-seven million, four hundred eighty-three thousand, three hundred ninety-two".