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13663012500 = 22335540483
BaseRepresentation
bin11001011100110000…
…10000011010010100
31022021012100221122000
430232120100122110
5210440212400000
610135433435300
7662403455454
oct145630203224
938235327560
1013663012500
115881461575
12279386bb30
1313998607a7
14938835d64
1554e76a000
hex32e610694

13663012500 has 144 divisors (see below), whose sum is σ = 44276541120. Its totient is φ = 3643380000.

The previous prime is 13663012477. The next prime is 13663012507. The reversal of 13663012500 is 521036631.

13663012500 is a `hidden beast` number, since 1 + 3 + 6 + 630 + 1 + 25 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13663012507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317259 + ... + 357741.

It is an arithmetic number, because the mean of its divisors is an integer number (307475980).

Almost surely, 213663012500 is an apocalyptic number.

13663012500 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 13663012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22138270560).

13663012500 is an abundant number, since it is smaller than the sum of its proper divisors (30613528620).

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

13663012500 is an equidigital number, since it uses as much as digits as its factorization.

13663012500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40521 (or 40493 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 13663012500 in words is "thirteen billion, six hundred sixty-three million, twelve thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 125 135 150 180 225 250 270 300 375 450 500 540 625 675 750 900 1125 1250 1350 1500 1875 2250 2500 2700 3125 3375 3750 4500 5625 6250 6750 7500 9375 11250 12500 13500 16875 18750 22500 28125 33750 37500 40483 56250 67500 80966 84375 112500 121449 161932 168750 202415 242898 337500 364347 404830 485796 607245 728694 809660 1012075 1093041 1214490 1457388 1821735 2024150 2186082 2428980 3036225 3643470 4048300 4372164 5060375 5465205 6072450 7286940 9108675 10120750 10930410 12144900 15181125 18217350 20241500 21860820 25301875 27326025 30362250 36434700 45543375 50603750 54652050 60724500 75905625 91086750 101207500 109304100 126509375 136630125 151811250 182173500 227716875 253018750 273260250 303622500 379528125 455433750 506037500 546520500 683150625 759056250 910867500 1138584375 1366301250 1518112500 2277168750 2732602500 3415753125 4554337500 6831506250 13663012500