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13885181420 = 22511232229521
BaseRepresentation
bin11001110111001111…
…10000110111101100
31022211200102022002112
430323213300313230
5211414101301140
610213451343152
71001042044325
oct147347606754
938750368075
1013885181420
115985906350
122836151ab8
1314038aa4a6
1495a14944c
15564002c65
hex33b9f0dec

13885181420 has 144 divisors (see below), whose sum is σ = 33462162720. Its totient is φ = 4799308800.

The previous prime is 13885181369. The next prime is 13885181423. The reversal of 13885181420 is 2418158831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13885181423) 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, 26650760 + ... + 26651280.

It is an arithmetic number, because the mean of its divisors is an integer number (232376130).

Almost surely, 213885181420 is an apocalyptic number.

13885181420 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 13885181420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16731081360).

13885181420 is an abundant number, since it is smaller than the sum of its proper divisors (19576981300).

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

13885181420 is a wasteful number, since it uses less digits than its factorization.

13885181420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 41.

The spelling of 13885181420 in words is "thirteen billion, eight hundred eighty-five million, one hundred eighty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 229 230 253 458 460 506 521 529 916 1012 1042 1058 1145 1265 2084 2116 2290 2519 2530 2605 2645 4580 5038 5060 5210 5267 5290 5731 5819 10076 10420 10534 10580 11462 11638 11983 12595 21068 22924 23276 23966 25190 26335 28655 29095 47932 50380 52670 57310 57937 58190 59915 105340 114620 115874 116380 119309 119830 121141 131813 231748 238618 239660 242282 263626 275609 289685 477236 484564 527252 551218 579370 596545 605705 659065 1102436 1158740 1193090 1211410 1312399 1318130 1332551 1378045 2386180 2422820 2624798 2636260 2665102 2744107 2756090 3031699 5249596 5330204 5488214 5512180 6063398 6561995 6662755 10976428 12126796 13123990 13325510 13720535 15158495 26247980 26651020 27441070 30185177 30316990 54882140 60370354 60633980 63114461 120740708 126228922 150925885 252457844 301851770 315572305 603703540 631144610 694259071 1262289220 1388518142 2777036284 3471295355 6942590710 13885181420