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128023373385 = 32517331641641
BaseRepresentation
bin111011100111011001…
…0011010011001001001
3110020110011120012122200
41313032302122121021
54044142440422020
6134451345110413
712151352501355
oct1671662323111
9406404505580
10128023373385
114a326947316
122098a928409
13c0c352219b
1462a6b76465
1534e456b590
hex1dcec9a649

128023373385 has 24 divisors (see below), whose sum is σ = 222035363784. Its totient is φ = 68239691520.

The previous prime is 128023373363. The next prime is 128023373389. The reversal of 128023373385 is 583373320821.

128023373385 is a `hidden beast` number, since 1 + 2 + 80 + 233 + 7 + 338 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9014932809 + 119008440576 = 94947^2 + 344976^2 .

It is not a de Polignac number, because 128023373385 - 26 = 128023373321 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 128023373385.

It is not an unprimeable number, because it can be changed into a prime (128023373389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 742836 + ... + 898805.

It is an arithmetic number, because the mean of its divisors is an integer number (9251473491).

Almost surely, 2128023373385 is an apocalyptic number.

128023373385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128023373385 is a deficient number, since it is larger than the sum of its proper divisors (94011990399).

128023373385 is a wasteful number, since it uses less digits than its factorization.

128023373385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643385 (or 1643382 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 128023373385 in words is "one hundred twenty-eight billion, twenty-three million, three hundred seventy-three thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 45 1733 5199 8665 15597 25995 77985 1641641 4924923 8208205 14774769 24624615 73873845 2844963853 8534891559 14224819265 25604674677 42674457795 128023373385