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12656201360 = 2451131479871
BaseRepresentation
bin10111100100101111…
…00100111010010000
31012200000212122101112
423302113210322100
5201404441420420
65451510152452
7625426636145
oct136227447220
935600778345
1012656201360
115405106450
122552652728
1312690aa35a
14880c343cc
154e11908c5
hex2f25e4e90

12656201360 has 160 divisors (see below), whose sum is σ = 33844690944. Its totient is φ = 4358592000.

The previous prime is 12656201297. The next prime is 12656201423. The reversal of 12656201360 is 6310265621.

12656201360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12656201297) and next prime (12656201423).

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 31 ways as a sum of consecutive naturals, for example, 1277225 + ... + 1287095.

Almost surely, 212656201360 is an apocalyptic number.

12656201360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12656201360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16922345472).

12656201360 is an abundant number, since it is smaller than the sum of its proper divisors (21188489584).

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

12656201360 is a wasteful number, since it uses less digits than its factorization.

12656201360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9973 (or 9967 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 12656201360 its reverse (6310265621), we get a palindrome (18966466981).

The spelling of 12656201360 in words is "twelve billion, six hundred fifty-six million, two hundred one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 47 55 62 80 88 94 110 124 155 176 188 220 235 248 310 341 376 440 470 496 517 620 682 752 880 940 1034 1240 1364 1457 1705 1880 2068 2480 2585 2728 2914 3410 3760 4136 5170 5456 5828 6820 7285 8272 9871 10340 11656 13640 14570 16027 19742 20680 23312 27280 29140 32054 39484 41360 49355 58280 64108 78968 80135 98710 108581 116560 128216 157936 160270 197420 217162 256432 306001 320540 394840 434324 463937 542905 612002 641080 789680 868648 927874 1085810 1224004 1282160 1530005 1737296 1855748 2171620 2319685 2448008 3060010 3366011 3711496 4343240 4639370 4896016 5103307 6120020 6732022 7422992 8686480 9278740 10206614 12240040 13464044 14382047 16830055 18557480 20413228 24480080 25516535 26928088 28764094 33660110 37114960 40826456 51033070 53856176 57528188 67320220 71910235 81652912 102066140 115056376 134640440 143820470 158202517 204132280 230112752 269280880 287640940 316405034 408264560 575281880 632810068 791012585 1150563760 1265620136 1582025170 2531240272 3164050340 6328100680 12656201360