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969242011300 = 2252596111172411
BaseRepresentation
bin11100001101010110101…
…00110110011010100100
310102122210010211201002101
432012223110312122210
5111340001423330200
62021132540021444
7130011502106413
oct16065324663244
93378703751071
10969242011300
11344064935822
12137a19231884
1370525b6ca24
1434ca948b47a
151a32b31326a
hexe1ab5366a4

969242011300 has 144 divisors (see below), whose sum is σ = 2176816299840. Its totient is φ = 374386752000.

The previous prime is 969242011279. The next prime is 969242011343. The reversal of 969242011300 is 3110242969.

969242011300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 969242011300.

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, 402007095 + ... + 402009505.

It is an arithmetic number, because the mean of its divisors is an integer number (15116779860).

Almost surely, 2969242011300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 969242011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088408149920).

969242011300 is an abundant number, since it is smaller than the sum of its proper divisors (1207574288540).

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

969242011300 is a wasteful number, since it uses less digits than its factorization.

969242011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3662 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 969242011300 in words is "nine hundred sixty-nine billion, two hundred forty-two million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 59 61 100 118 122 236 244 295 305 590 610 1117 1180 1220 1475 1525 2234 2411 2950 3050 3599 4468 4822 5585 5900 6100 7198 9644 11170 12055 14396 17995 22340 24110 27925 35990 48220 55850 60275 65903 68137 71980 89975 111700 120550 131806 136274 142249 147071 179950 241100 263612 272548 284498 294142 329515 340685 359900 568996 588284 659030 681370 711245 735355 1318060 1362740 1422490 1470710 1647575 1703425 2693087 2844980 2941420 3295150 3406850 3556225 3676775 4020083 5386174 6590300 6813700 7112450 7353550 8040166 8677189 10772348 13465435 14224900 14707100 16080332 17354378 20100415 26930870 34708756 40200830 43385945 53861740 67327175 80401660 86771890 100502075 134654350 158892133 164278307 173543780 201004150 216929725 269308700 317784266 328556614 402008300 433859450 635568532 657113228 794460665 821391535 867718900 1588921330 1642783070 3177842660 3285566140 3972303325 4106957675 7944606650 8213915350 9692420113 15889213300 16427830700 19384840226 38769680452 48462100565 96924201130 193848402260 242310502825 484621005650 969242011300