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13270137500 = 225523101457
BaseRepresentation
bin11000101101111011…
…00011101010011100
31021020211002211110002
430112331203222130
5204134123400000
610032441033432
7646563210344
oct142675435234
937224084402
1013270137500
11569a712794
1226a4185878
131336345289
148dc5a7d24
1552a0128d5
hex316f63a9c

13270137500 has 144 divisors (see below), whose sum is σ = 30655412928. Its totient is φ = 5016000000.

The previous prime is 13270137499. The next prime is 13270137527. The reversal of 13270137500 is 573107231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29037272 + ... + 29037728.

It is an arithmetic number, because the mean of its divisors is an integer number (212884812).

Almost surely, 213270137500 is an apocalyptic number.

13270137500 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 13270137500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15327706464).

13270137500 is an abundant number, since it is smaller than the sum of its proper divisors (17385275428).

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

13270137500 is a wasteful number, since it uses less digits than its factorization.

13270137500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 29.

The spelling of 13270137500 in words is "thirteen billion, two hundred seventy million, one hundred thirty-seven thousand, five hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 101 115 125 202 230 250 404 457 460 500 505 575 625 914 1010 1150 1250 1828 2020 2285 2300 2323 2500 2525 2875 3125 4570 4646 5050 5750 6250 9140 9292 10100 10511 11425 11500 11615 12500 12625 14375 21022 22850 23230 25250 28750 42044 45700 46157 46460 50500 52555 57125 57500 58075 63125 71875 92314 105110 114250 116150 126250 143750 184628 210220 228500 230785 232300 252500 262775 285625 287500 290375 315625 461570 525550 571250 580750 631250 923140 1051100 1061611 1142500 1153925 1161500 1262500 1313875 1428125 1451875 2123222 2307850 2627750 2856250 2903750 4246444 4615700 5255500 5308055 5712500 5769625 5807500 6569375 7259375 10616110 11539250 13138750 14518750 21232220 23078500 26277500 26540275 28848125 29037500 32846875 53080550 57696250 65693750 106161100 115392500 131387500 132701375 144240625 265402750 288481250 530805500 576962500 663506875 1327013750 2654027500 3317534375 6635068750 13270137500