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13890310408600 = 2352671203786117
BaseRepresentation
bin1100101000100001011100…
…0001001000100110011000
31211011220022121121100221021
43022020113001020212120
53310034323431033400
645313042010252224
72632353561250333
oct312102701104630
954156277540837
1013890310408600
11447593611910a
121684050a27074
13799b09b5a692
1436041a5ab61a
151914bb1bd71a
hexca217048998

13890310408600 has 96 divisors (see below), whose sum is σ = 32780089864080. Its totient is φ = 5472678689280.

The previous prime is 13890310408529. The next prime is 13890310408621. The reversal of 13890310408600 is 680401309831.

It is a super-2 number, since 2×138903104086002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161252742 + ... + 161338858.

Almost surely, 213890310408600 is an apocalyptic number.

13890310408600 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 13890310408600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16390044932040).

13890310408600 is an abundant number, since it is smaller than the sum of its proper divisors (18889779455480).

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

13890310408600 is a wasteful number, since it uses less digits than its factorization.

13890310408600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98237 (or 98228 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 13890310408600 in words is "thirteen trillion, eight hundred ninety billion, three hundred ten million, four hundred eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 335 536 670 1340 1675 2680 3350 6700 12037 13400 24074 48148 60185 86117 96296 120370 172234 240740 300925 344468 430585 481480 601850 688936 806479 861170 1203700 1612958 1722340 2152925 2407400 3225916 3444680 4032395 4305850 5769839 6451832 8064790 8611700 11539678 16129580 17223400 20161975 23079356 28849195 32259160 40323950 46158712 57698390 80647900 115396780 144245975 161295800 230793560 288491950 576983900 1036590329 1153967800 2073180658 4146361316 5182951645 8292722632 10365903290 20731806580 25914758225 41463613160 51829516450 69451552043 103659032900 138903104086 207318065800 277806208172 347257760215 555612416344 694515520430 1389031040860 1736288801075 2778062081720 3472577602150 6945155204300 13890310408600