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31643942850 = 232521331174491
BaseRepresentation
bin11101011110001000…
…000011111111000010
310000200022122212000100
4131132020003333002
51004301322132400
622311555303230
72200111035102
oct353610037702
9100608585010
1031643942850
11124691a9693
1261715aab16
132ca3b45250
1417628db202
15c53108100
hex75e203fc2

31643942850 has 144 divisors (see below), whose sum is σ = 94510450944. Its totient is φ = 7537968000.

The previous prime is 31643942849. The next prime is 31643942861. The reversal of 31643942850 is 5824934613.

It is a super-2 number, since 2×316439428502 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 31643942796 and 31643942805.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94105 + ... + 268595.

It is an arithmetic number, because the mean of its divisors is an integer number (656322576).

Almost surely, 231643942850 is an apocalyptic number.

31643942850 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31643942850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47255225472).

31643942850 is an abundant number, since it is smaller than the sum of its proper divisors (62866508094).

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

31643942850 is a wasteful number, since it uses less digits than its factorization.

31643942850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174553 (or 174545 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 31643942850 in words is "thirty-one billion, six hundred forty-three million, nine hundred forty-two thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 31 39 45 50 62 65 75 78 90 93 117 130 150 155 186 195 225 234 279 310 325 390 403 450 465 558 585 650 775 806 930 975 1170 1209 1395 1550 1950 2015 2325 2418 2790 2925 3627 4030 4650 5850 6045 6975 7254 10075 12090 13950 18135 20150 30225 36270 60450 90675 174491 181350 348982 523473 872455 1046946 1570419 1744910 2268383 2617365 3140838 4362275 4536766 5234730 5409221 6805149 7852095 8724550 10818442 11341915 13086825 13610298 15704190 16227663 20415447 22683830 26173650 27046105 32455326 34025745 39260475 40830894 48682989 54092210 56709575 68051490 70319873 78520950 81138315 97365978 102077235 113419150 135230525 140639746 162276630 170128725 204154470 210959619 243414945 270461050 340257450 351599365 405691575 421919238 486829890 510386175 632878857 703198730 811383150 1020772350 1054798095 1217074725 1265757714 1757996825 2109596190 2434149450 3164394285 3515993650 5273990475 6328788570 10547980950 15821971425 31643942850