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12287383152 = 24311411135023
BaseRepresentation
bin10110111000110001…
…01001011001110000
31011201022212201220220
423130120221121300
5200131032230102
65351133133040
7613331014332
oct133430513160
934638781826
1012287383152
1152359a8910
12246b02a180
13120a865925
14847c69452
154bdadb1bc
hex2dc629670

12287383152 has 160 divisors (see below), whose sum is σ = 35793709056. Its totient is φ = 3599769600.

The previous prime is 12287383139. The next prime is 12287383177. The reversal of 12287383152 is 25138378221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2443713 + ... + 2448735.

Almost surely, 212287383152 is an apocalyptic number.

12287383152 is a gapful number since it is divisible by the number (12) 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 12287383152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17896854528).

12287383152 is an abundant number, since it is smaller than the sum of its proper divisors (23506325904).

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

12287383152 is a wasteful number, since it uses less digits than its factorization.

12287383152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5199 (or 5193 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The spelling of 12287383152 in words is "twelve billion, two hundred eighty-seven million, three hundred eighty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 113 123 132 164 176 226 246 264 328 339 451 452 492 528 656 678 902 904 984 1243 1353 1356 1804 1808 1968 2486 2706 2712 3608 3729 4633 4972 5023 5412 5424 7216 7458 9266 9944 10046 10824 13899 14916 15069 18532 19888 20092 21648 27798 29832 30138 37064 40184 50963 55253 55596 59664 60276 74128 80368 101926 110506 111192 120552 152889 165759 203852 205943 221012 222384 241104 305778 331518 407704 411886 442024 567599 611556 617829 663036 815408 823772 884048 1135198 1223112 1235658 1326072 1647544 1702797 2265373 2270396 2446224 2471316 2652144 3295088 3405594 4530746 4540792 4942632 6243589 6796119 6811188 9061492 9081584 9885264 12487178 13592238 13622376 18122984 18730767 23271559 24974356 27184476 27244752 36245968 37461534 46543118 49948712 54368952 69814677 74923068 93086236 99897424 108737904 139629354 149846136 186172472 255987149 279258708 299692272 372344944 511974298 558517416 767961447 1023948596 1117034832 1535922894 2047897192 3071845788 4095794384 6143691576 12287383152