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13520563000 = 2353711317093
BaseRepresentation
bin11001001011110001…
…10110101100111000
31021220021022202122121
430211320312230320
5210142231004000
610113344331024
7656023614010
oct144570665470
937807282577
1013520563000
11580900710a
122754013a74
1313761a6549
14923954c40
15541eccb1a
hex325e36b38

13520563000 has 128 divisors (see below), whose sum is σ = 36479963520. Its totient is φ = 4594329600.

The previous prime is 13520562947. The next prime is 13520563013. The reversal of 13520563000 is 36502531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 782454 + ... + 799546.

It is an arithmetic number, because the mean of its divisors is an integer number (284999715).

Almost surely, 213520563000 is an apocalyptic number.

13520563000 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 13520563000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18239981760).

13520563000 is an abundant number, since it is smaller than the sum of its proper divisors (22959400520).

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

13520563000 is a wasteful number, since it uses less digits than its factorization.

13520563000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17234 (or 17220 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The spelling of 13520563000 in words is "thirteen billion, five hundred twenty million, five hundred sixty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 113 125 140 175 200 226 250 280 350 452 500 565 700 791 875 904 1000 1130 1400 1582 1750 2260 2825 3164 3500 3955 4520 5650 6328 7000 7910 11300 14125 15820 17093 19775 22600 28250 31640 34186 39550 56500 68372 79100 85465 98875 113000 119651 136744 158200 170930 197750 239302 341860 395500 427325 478604 598255 683720 791000 854650 957208 1196510 1709300 1931509 2136625 2393020 2991275 3418600 3863018 4273250 4786040 5982550 7726036 8546500 9657545 11965100 13520563 14956375 15452072 17093000 19315090 23930200 27041126 29912750 38630180 48287725 54082252 59825500 67602815 77260360 96575450 108164504 119651000 135205630 193150900 241438625 270411260 338014075 386301800 482877250 540822520 676028150 965754500 1352056300 1690070375 1931509000 2704112600 3380140750 6760281500 13520563000