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12505133550 = 2352713916127
BaseRepresentation
bin10111010010101110…
…10011000111101110
31012021111121121022110
423221113103013232
5201102303233200
65424512224450
7621613611210
oct135127230756
935244547273
1012505133550
115337904a18
12250bb3b126
1312439c6410
14868b4c5b0
154d2c9eb50
hex2e95d31ee

12505133550 has 96 divisors (see below), whose sum is σ = 38169556992. Its totient is φ = 2638442880.

The previous prime is 12505133521. The next prime is 12505133551. The reversal of 12505133550 is 5533150521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12505133551) 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, 444414 + ... + 471713.

It is an arithmetic number, because the mean of its divisors is an integer number (397599552).

Almost surely, 212505133550 is an apocalyptic number.

12505133550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12505133550 is an abundant number, since it is smaller than the sum of its proper divisors (25664423442).

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

12505133550 is a wasteful number, since it uses less digits than its factorization.

12505133550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916162 (or 916157 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 30.

The spelling of 12505133550 in words is "twelve billion, five hundred five million, one hundred thirty-three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 50 65 70 75 78 91 105 130 150 175 182 195 210 273 325 350 390 455 525 546 650 910 975 1050 1365 1950 2275 2730 4550 6825 13650 916127 1832254 2748381 4580635 5496762 6412889 9161270 11909651 12825778 13741905 19238667 22903175 23819302 27483810 32064445 35728953 38477334 45806350 59548255 64128890 68709525 71457906 83367557 96193335 119096510 137419050 160322225 166735114 178644765 192386670 250102671 297741275 320644450 357289530 416837785 480966675 500205342 595482550 833675570 893223825 961933350 1250513355 1786447650 2084188925 2501026710 4168377850 6252566775 12505133550