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12028979520 = 26345464081
BaseRepresentation
bin10110011001111101…
…11010100101000000
31011001022122110210000
423030332322211000
5144113404321040
65305342440000
7604042432065
oct131476724500
934038573700
1012028979520
115113055398
1223b8593000
13119917017c
14821802c6c
154a6097130
hex2ccfba940

12028979520 has 140 divisors (see below), whose sum is σ = 42789288564. Its totient is φ = 3207720960.

The previous prime is 12028979503. The next prime is 12028979551. The reversal of 12028979520 is 2597982021.

It is a happy number.

12028979520 is a `hidden beast` number, since 12 + 0 + 28 + 97 + 9 + 520 = 666.

12028979520 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 9018921024 + 3010058496 = 94968^2 + 54864^2 .

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 206121 + ... + 257960.

Almost surely, 212028979520 is an apocalyptic number.

12028979520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12028979520 is an abundant number, since it is smaller than the sum of its proper divisors (30760309044).

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

12028979520 is an equidigital number, since it uses as much as digits as its factorization.

12028979520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464110 (or 464091 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

It can be divided in two parts, 120289 and 79520, that added together give a square (199809 = 4472).

The spelling of 12028979520 in words is "twelve billion, twenty-eight million, nine hundred seventy-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 464081 928162 1392243 1856324 2320405 2784486 3712648 4176729 4640810 5568972 6961215 7425296 8353458 9281620 11137944 12530187 13922430 14850592 16706916 18563240 20883645 22275888 25060374 27844860 29701184 33413832 37126480 37590561 41767290 44551776 50120748 55689720 62650935 66827664 74252960 75181122 83534580 89103552 100241496 111379440 125301870 133655328 148505920 150362244 167069160 187952805 200482992 222758880 250603740 267310656 300724488 334138320 375905610 400965984 445517760 501207480 601448976 668276640 751811220 801931968 1002414960 1202897952 1336553280 1503622440 2004829920 2405795904 3007244880 4009659840 6014489760 12028979520