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12009093840 = 2432516679297
BaseRepresentation
bin10110010111100110…
…00011101011010000
31010222221020011202100
423023303003223100
5144043312000330
65303352320400
7603411420252
oct131363035320
933887204670
1012009093840
115102902a47
1223b19a3100
131194cc9ab3
1481cd07cd2
154a446a060
hex2cbcc3ad0

12009093840 has 60 divisors (see below), whose sum is σ = 40330542564. Its totient is φ = 3202424832.

The previous prime is 12009093829. The next prime is 12009093841. The reversal of 12009093840 is 4839090021.

12009093840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7898232384 + 4110861456 = 88872^2 + 64116^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 12009093795 and 12009093804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12009093841) 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 11 ways as a sum of consecutive naturals, for example, 8338929 + ... + 8340368.

Almost surely, 212009093840 is an apocalyptic number.

12009093840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12009093840 is an abundant number, since it is smaller than the sum of its proper divisors (28321448724).

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

12009093840 is a wasteful number, since it uses less digits than its factorization.

12009093840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16679316 (or 16679307 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 12009093840 in words is "twelve billion, nine million, ninety-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 16679297 33358594 50037891 66717188 83396485 100075782 133434376 150113673 166792970 200151564 250189455 266868752 300227346 333585940 400303128 500378910 600454692 667171880 750568365 800606256 1000757820 1200909384 1334343760 1501136730 2001515640 2401818768 3002273460 4003031280 6004546920 12009093840