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12927352320 = 29325561083
BaseRepresentation
bin11000000101000011…
…11011111000000000
31020100221002112120200
430002201323320000
5202433400233240
65534434005200
7635231452551
oct140241737000
936327075520
1012927352320
115534176153
122609416800
1312b0316ccc
148a8c58328
15509da1930
hex30287be00

12927352320 has 120 divisors (see below), whose sum is σ = 44771136696. Its totient is φ = 3447287808.

The previous prime is 12927352307. The next prime is 12927352327. The reversal of 12927352320 is 2325372921.

It is a happy number.

12927352320 is a `hidden beast` number, since 12 + 9 + 273 + 52 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12927352327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257502 + ... + 303581.

Almost surely, 212927352320 is an apocalyptic number.

12927352320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12927352320 is an abundant number, since it is smaller than the sum of its proper divisors (31843784376).

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

12927352320 is an equidigital number, since it uses as much as digits as its factorization.

12927352320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561112 (or 561093 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 12927352320 in words is "twelve billion, nine hundred twenty-seven million, three hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 561083 1122166 1683249 2244332 2805415 3366498 4488664 5049747 5610830 6732996 8416245 8977328 10099494 11221660 13465992 16832490 17954656 20198988 22443320 25248735 26931984 33664980 35909312 40397976 44886640 50497470 53863968 67329960 71818624 80795952 89773280 100994940 107727936 134659920 143637248 161591904 179546560 201989880 215455872 269319840 287274496 323183808 359093120 403979760 430911744 538639680 646367616 718186240 807959520 861823488 1077279360 1292735232 1436372480 1615919040 2154558720 2585470464 3231838080 4309117440 6463676160 12927352320