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13507600000 = 275533769
BaseRepresentation
bin11001001010001110…
…11001111010000000
31021212100221011202111
430211013121322000
5210130421200000
610112202425104
7655505464006
oct144507317200
937770834674
1013507600000
115801762894
12274b802194
1313735b812b
14921d3ca76
15540cbbcba
hex3251d9e80

13507600000 has 96 divisors (see below), whose sum is σ = 33635933100. Its totient is φ = 5402880000.

The previous prime is 13507599943. The next prime is 13507600003. The reversal of 13507600000 is 670531.

It can be written as a sum of positive squares in 6 ways, for example, as 363436096 + 13144163904 = 19064^2 + 114648^2 .

It is not an unprimeable number, because it can be changed into a prime (13507600003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 383116 + ... + 416884.

Almost surely, 213507600000 is an apocalyptic number.

13507600000 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 13507600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16817966550).

13507600000 is an abundant number, since it is smaller than the sum of its proper divisors (20128333100).

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

13507600000 is an frugal number, since it uses more digits than its factorization.

13507600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33808 (or 33776 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The spelling of 13507600000 in words is "thirteen billion, five hundred seven million, six hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 16000 20000 25000 33769 40000 50000 67538 80000 100000 135076 168845 200000 270152 337690 400000 540304 675380 844225 1080608 1350760 1688450 2161216 2701520 3376900 4221125 4322432 5403040 6753800 8442250 10806080 13507600 16884500 21105625 21612160 27015200 33769000 42211250 54030400 67538000 84422500 105528125 108060800 135076000 168845000 211056250 270152000 337690000 422112500 540304000 675380000 844225000 1350760000 1688450000 2701520000 3376900000 6753800000 13507600000