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13830502950 = 2355211103483
BaseRepresentation
bin11001110000101110…
…01011101000100110
31022200212112100100000
430320113023220212
5211311102043300
610204215402130
7666506223015
oct147027135046
938625470300
1013830502950
115957a5a630
12281b983346
1313c5474774
14952b94a7c
1555e301c00
hex3385cba26

13830502950 has 144 divisors (see below), whose sum is σ = 42037684416. Its totient is φ = 3352816800.

The previous prime is 13830502943. The next prime is 13830502957. The reversal of 13830502950 is 5920503831.

13830502950 is a `hidden beast` number, since 1 + 38 + 30 + 502 + 95 + 0 = 666.

13830502950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13830502943) and next prime (13830502957).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13830502957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81909 + ... + 185391.

It is an arithmetic number, because the mean of its divisors is an integer number (291928364).

Almost surely, 213830502950 is an apocalyptic number.

13830502950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13830502950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21018842208).

13830502950 is an abundant number, since it is smaller than the sum of its proper divisors (28207181466).

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

13830502950 is a wasteful number, since it uses less digits than its factorization.

13830502950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103521 (or 103504 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 13830502950 in words is "thirteen billion, eight hundred thirty million, five hundred two thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 81 90 99 110 135 150 162 165 198 225 243 270 275 297 330 405 450 486 495 550 594 675 810 825 891 990 1215 1350 1485 1650 1782 2025 2430 2475 2673 2970 4050 4455 4950 5346 6075 7425 8910 12150 13365 14850 22275 26730 44550 66825 103483 133650 206966 310449 517415 620898 931347 1034830 1138313 1552245 1862694 2276626 2587075 2794041 3104490 3414939 4656735 5174150 5588082 5691565 6829878 7761225 8382123 9313470 10244817 11383130 13970205 15522450 16764246 17074695 20489634 23283675 25146369 27940410 28457825 30734451 34149390 41910615 46567350 50292738 51224085 56915650 61468902 69851025 83821230 85373475 92203353 102448170 125731845 139702050 153672255 170746950 184406706 209553075 251463690 256120425 276610059 307344510 419106150 461016765 512240850 553220118 628659225 768361275 922033530 1257318450 1383050295 1536722550 2305083825 2766100590 4610167650 6915251475 13830502950