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13479839250 = 2353109181911
BaseRepresentation
bin11001000110111011…
…00000011000010010
31021210102200210011120
430203131200120102
5210101314324000
610105331423110
7655020512613
oct144335403022
937712623146
1013479839250
115798021819
122742454a96
13136a918457
1491c393c0a
1553d6366a0
hex323760612

13479839250 has 128 divisors (see below), whose sum is σ = 34179425280. Its totient is φ = 3538080000.

The previous prime is 13479839203. The next prime is 13479839267. The reversal of 13479839250 is 5293897431.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13479839193 and 13479839202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14796295 + ... + 14797205.

It is an arithmetic number, because the mean of its divisors is an integer number (267026760).

Almost surely, 213479839250 is an apocalyptic number.

13479839250 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 13479839250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17089712640).

13479839250 is an abundant number, since it is smaller than the sum of its proper divisors (20699586030).

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

13479839250 is a wasteful number, since it uses less digits than its factorization.

13479839250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 13479839250 in words is "thirteen billion, four hundred seventy-nine million, eight hundred thirty-nine thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 109 125 150 181 218 250 327 362 375 543 545 654 750 905 911 1086 1090 1635 1810 1822 2715 2725 2733 3270 4525 4555 5430 5450 5466 8175 9050 9110 13575 13625 13665 16350 19729 22625 22775 27150 27250 27330 39458 40875 45250 45550 59187 67875 68325 81750 98645 99299 113875 118374 135750 136650 164891 197290 198598 227750 295935 297897 329782 341625 493225 494673 496495 591870 595794 683250 824455 986450 989346 992990 1479675 1489485 1648910 2466125 2473365 2482475 2959350 2978970 4122275 4932250 4946730 4964950 7398375 7447425 8244550 12366825 12412375 14796750 14894850 17973119 20611375 24733650 24824750 35946238 37237125 41222750 53919357 61834125 74474250 89865595 107838714 123668250 179731190 269596785 449327975 539193570 898655950 1347983925 2246639875 2695967850 4493279750 6739919625 13479839250