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13029589000 = 235383179877
BaseRepresentation
bin11000010001001111…
…11100000000001000
31020122001110200221101
430020213330000020
5203141033322000
65552525151144
7640612451641
oct141047740010
936561420841
1013029589000
11558695507a
1226376bb4b4
1312c856189c
148b866c6c8
15513d48e6a
hex3089fc008

13029589000 has 128 divisors (see below), whose sum is σ = 31064342400. Its totient is φ = 5114438400.

The previous prime is 13029588989. The next prime is 13029589031. The reversal of 13029589000 is 98592031.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14856562 + ... + 14857438.

It is an arithmetic number, because the mean of its divisors is an integer number (242690175).

Almost surely, 213029589000 is an apocalyptic number.

13029589000 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 13029589000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15532171200).

13029589000 is an abundant number, since it is smaller than the sum of its proper divisors (18034753400).

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

13029589000 is a wasteful number, since it uses less digits than its factorization.

13029589000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The spelling of 13029589000 in words is "thirteen billion, twenty-nine million, five hundred eighty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 166 179 200 250 332 358 415 500 664 716 830 877 895 1000 1432 1660 1754 1790 2075 3320 3508 3580 4150 4385 4475 7016 7160 8300 8770 8950 10375 14857 16600 17540 17900 20750 21925 22375 29714 35080 35800 41500 43850 44750 59428 72791 74285 83000 87700 89500 109625 118856 145582 148570 156983 175400 179000 219250 291164 297140 313966 363955 371425 438500 582328 594280 627932 727910 742850 784915 877000 1255864 1455820 1485700 1569830 1819775 1857125 2911640 2971400 3139660 3639550 3714250 3924575 6279320 7279100 7428500 7849150 9098875 13029589 14558200 14857000 15698300 18197750 19622875 26059178 31396600 36395500 39245750 52118356 65147945 72791000 78491500 104236712 130295890 156983000 260591780 325739725 521183560 651479450 1302958900 1628698625 2605917800 3257397250 6514794500 13029589000