Search a number
-
+
12287972160 = 26345474073
BaseRepresentation
bin10110111000110101…
…11001001101000000
31011201100222122220000
423130122321031000
5200131210102120
65351153520000
7613336016502
oct133432711500
934640878800
1012287972160
1152362703a2
12246b273000
13120aa10a59
14847d7dd72
154bdba5990
hex2dc6b9340

12287972160 has 140 divisors (see below), whose sum is σ = 43710570948. Its totient is φ = 3276785664.

The previous prime is 12287972089. The next prime is 12287972189. The reversal of 12287972160 is 6127978221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9433848384 + 2854123776 = 97128^2 + 53424^2 .

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 211117 + ... + 262956.

Almost surely, 212287972160 is an apocalyptic number.

12287972160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12287972160 is an abundant number, since it is smaller than the sum of its proper divisors (31422598788).

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

12287972160 is an equidigital number, since it uses as much as digits as its factorization.

12287972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474102 (or 474083 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 12287972160 in words is "twelve billion, two hundred eighty-seven million, nine hundred seventy-two thousand, one hundred sixty".

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 474073 948146 1422219 1896292 2370365 2844438 3792584 4266657 4740730 5688876 7111095 7585168 8533314 9481460 11377752 12799971 14222190 15170336 17066628 18962920 21333285 22755504 25599942 28444380 30340672 34133256 37925840 38399913 42666570 45511008 51199884 56888760 63999855 68266512 75851680 76799826 85333140 91022016 102399768 113777520 127999710 136533024 151703360 153599652 170666280 191999565 204799536 227555040 255999420 273066048 307199304 341332560 383999130 409599072 455110080 511998840 614398608 682665120 767998260 819198144 1023997680 1228797216 1365330240 1535996520 2047995360 2457594432 3071993040 4095990720 6143986080 12287972160