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11252341789020 = 22325263719330587
BaseRepresentation
bin1010001110111110001111…
…0101011101000101011100
31110211201021001020202001100
42203233203311131011130
52433324243444222040
635533130543513100
72240645343043323
oct243574365350534
943751231222040
1011252341789020
113649100656992
1213189425b8790
136381256ca007
142ac88adb30ba
15147a74d9bb30
hexa3be3d5d15c

11252341789020 has 144 divisors (see below), whose sum is σ = 34309639203840. Its totient is φ = 2985048766848.

The previous prime is 11252341789001. The next prime is 11252341789021. The reversal of 11252341789020 is 2098714325211.

11252341789020 is a `hidden beast` number, since 1 + 1 + 2 + 523 + 4 + 17 + 8 + 90 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11252341789021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33872167 + ... + 34202753.

It is an arithmetic number, because the mean of its divisors is an integer number (238261383360).

Almost surely, 211252341789020 is an apocalyptic number.

11252341789020 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 11252341789020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17154819601920).

11252341789020 is an abundant number, since it is smaller than the sum of its proper divisors (23057297414820).

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

11252341789020 is a wasteful number, since it uses less digits than its factorization.

11252341789020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331584 (or 331579 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11252341789020 in words is "eleven trillion, two hundred fifty-two billion, three hundred forty-one million, seven hundred eighty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 263 526 719 789 1052 1315 1438 1578 2157 2367 2630 2876 3156 3595 3945 4314 4734 5260 6471 7190 7890 8628 9468 10785 11835 12942 14380 15780 21570 23670 25884 32355 43140 47340 64710 129420 189097 330587 378194 567291 661174 756388 945485 991761 1134582 1322348 1652935 1701873 1890970 1983522 2269164 2836455 2975283 3305870 3403746 3781940 3967044 4958805 5672910 5950566 6611740 6807492 8509365 9917610 11345820 11901132 14876415 17018730 19835220 29752830 34037460 59505660 86944381 173888762 237692053 260833143 347777524 434721905 475384106 521666286 713076159 782499429 869443810 950768212 1043332572 1188460265 1304165715 1426152318 1564998858 1738887620 2139228477 2376920530 2608331430 2852304636 3129997716 3565380795 3912497145 4278456954 4753841060 5216662860 7130761590 7824994290 8556913908 10696142385 14261523180 15649988580 21392284770 42784569540 62513009939 125026019878 187539029817 250052039756 312565049695 375078059634 562617089451 625130099390 750156119268 937695149085 1125234178902 1250260198780 1875390298170 2250468357804 2813085447255 3750780596340 5626170894510 11252341789020