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BaseRepresentation
bin111011100111011001…
…1101010101110010000
3110020110012011221000000
41313032303222232100
54044143031434131
6134451400130000
712151355341551
oct1671663525620
9406405157000
10128023702416
114a327051545
122098aa66900
13c0c3608b8c
1462a6c20328
1534e45d3ce6
hex1dceceab90

128023702416 has 105 divisors (see below), whose sum is σ = 372011045889. Its totient is φ = 42661686528.

The previous prime is 128023702409. The next prime is 128023702421. The reversal of 128023702416 is 614207320821.

It is a happy number.

The square root of 128023702416 is 357804.

It is a perfect power (a square), and thus also a powerful number.

128023702416 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 237 + 0 + 2 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 118322240400 + 9701462016 = 343980^2 + 98496^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 38641176 + ... + 38644488.

Almost surely, 2128023702416 is an apocalyptic number.

128023702416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

128023702416 is the 357804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128023702416

128023702416 is an abundant number, since it is smaller than the sum of its proper divisors (243987343473).

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

128023702416 is an frugal number, since it uses more digits than its factorization.

128023702416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6652 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 128023702416 by its sum of digits (36), we get a square (4608853286976 = 21468242).

128023702416 divided by its sum of digits (36) gives a square (3556213956 = 596342).

The spelling of 128023702416 in words is "one hundred twenty-eight billion, twenty-three million, seven hundred two thousand, four hundred sixteen".