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1312685500 = 225372131409
BaseRepresentation
bin100111000111101…
…1111110110111100
310101111001022222111
41032033133312330
510142021414000
6334131223404
744346433300
oct11617376674
93344038874
101312685500
11613a82055
12307747b64
1317bc59ca9
14c64a3d00
157a398cba
hex4e3dfdbc

1312685500 has 144 divisors (see below), whose sum is σ = 3368645280. Its totient is φ = 445536000.

The previous prime is 1312685497. The next prime is 1312685531. The reversal of 1312685500 is 55862131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3209296 + ... + 3209704.

It is an arithmetic number, because the mean of its divisors is an integer number (23393370).

Almost surely, 21312685500 is an apocalyptic number.

1312685500 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 1312685500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684322640).

1312685500 is an abundant number, since it is smaller than the sum of its proper divisors (2055959780).

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

1312685500 is a wasteful number, since it uses less digits than its factorization.

1312685500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 1312685500 is about 36231.0019182468. The cubic root of 1312685500 is about 1094.9313635453.

The spelling of 1312685500 in words is "one billion, three hundred twelve million, six hundred eighty-five thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 131 140 175 196 245 250 262 350 409 490 500 524 655 700 818 875 917 980 1225 1310 1636 1750 1834 2045 2450 2620 2863 3275 3500 3668 4090 4585 4900 5726 6125 6419 6550 8180 9170 10225 11452 12250 12838 13100 14315 16375 18340 20041 20450 22925 24500 25676 28630 32095 32750 40082 40900 45850 51125 53579 57260 64190 65500 71575 80164 91700 100205 102250 107158 114625 128380 143150 160475 200410 204500 214316 229250 267895 286300 320950 357875 375053 400820 458500 501025 535790 641900 715750 750106 802375 1002050 1071580 1339475 1431500 1500212 1604750 1875265 2004100 2505125 2625371 2678950 3209500 3750530 5010250 5250742 5357900 6697375 7501060 9376325 10020500 10501484 13126855 13394750 18752650 26253710 26789500 37505300 46881625 52507420 65634275 93763250 131268550 187526500 262537100 328171375 656342750 1312685500