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13090400000 = 285516363
BaseRepresentation
bin11000011000011111…
…11010011100000000
31020210021220012221122
430030033322130000
5203302120300000
610002540411412
7642251364326
oct141417723400
936707805848
1013090400000
11560820a2a7
122653b46b68
131308033a22
148c277bd16
1551935c085
hex30c3fa700

13090400000 has 108 divisors (see below), whose sum is σ = 32661987624. Its totient is φ = 5235840000.

The previous prime is 13090399997. The next prime is 13090400023. The reversal of 13090400000 is 409031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 791819 + ... + 808181.

Almost surely, 213090400000 is an apocalyptic number.

13090400000 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 13090400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16330993812).

13090400000 is an abundant number, since it is smaller than the sum of its proper divisors (19571587624).

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

13090400000 is an frugal number, since it uses more digits than its factorization.

13090400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16404 (or 16370 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13090400000 its reverse (409031), we get a palindrome (13090809031).

The spelling of 13090400000 in words is "thirteen billion, ninety million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 16000 16363 20000 25000 32000 32726 40000 50000 65452 80000 81815 100000 130904 160000 163630 200000 261808 327260 400000 409075 523616 654520 800000 818150 1047232 1309040 1636300 2045375 2094464 2618080 3272600 4090750 4188928 5236160 6545200 8181500 10226875 10472320 13090400 16363000 20453750 20944640 26180800 32726000 40907500 51134375 52361600 65452000 81815000 102268750 104723200 130904000 163630000 204537500 261808000 327260000 409075000 523616000 654520000 818150000 1309040000 1636300000 2618080000 3272600000 6545200000 13090400000