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10897193250 = 234531094937
BaseRepresentation
bin10100010011000010…
…11111100100100010
31001010102222202220000
422021201133210202
5134304140141000
65001152400430
7534020420466
oct121141374442
931112882800
1010897193250
1146921aa639
122141546116
131048840458
1475538c4a6
1543ba33000
hex28985f922

10897193250 has 160 divisors (see below), whose sum is σ = 30759197040. Its totient is φ = 2878675200.

The previous prime is 10897193243. The next prime is 10897193261. The reversal of 10897193250 is 5239179801.

It can be written as a sum of positive squares in 8 ways, for example, as 658384281 + 10238808969 = 25659^2 + 101187^2 .

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 = 10897193196 and 10897193205.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2204782 + ... + 2209718.

Almost surely, 210897193250 is an apocalyptic number.

10897193250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10897193250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15379598520).

10897193250 is an abundant number, since it is smaller than the sum of its proper divisors (19862003790).

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

10897193250 is a wasteful number, since it uses less digits than its factorization.

10897193250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5075 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 10897193250 in words is "ten billion, eight hundred ninety-seven million, one hundred ninety-three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 109 125 135 150 162 218 225 250 270 327 375 405 450 545 654 675 750 810 981 1090 1125 1350 1635 1962 2025 2250 2725 2943 3270 3375 4050 4905 4937 5450 5886 6750 8175 8829 9810 9874 10125 13625 14715 14811 16350 17658 20250 24525 24685 27250 29430 29622 40875 44145 44433 49050 49370 73575 74055 81750 88290 88866 122625 123425 133299 147150 148110 220725 222165 245250 246850 266598 367875 370275 399897 441450 444330 538133 617125 666495 735750 740550 799794 1076266 1103625 1110825 1234250 1332990 1614399 1851375 1999485 2207250 2221650 2690665 3228798 3332475 3702750 3998970 4843197 5381330 5554125 6664950 8071995 9686394 9997425 11108250 13453325 14529591 16143990 16662375 19994850 24215985 26906650 29059182 33324750 40359975 43588773 48431970 49987125 67266625 72647955 80719950 87177546 99974250 121079925 134533250 145295910 201799875 217943865 242159850 363239775 403599750 435887730 605399625 726479550 1089719325 1210799250 1816198875 2179438650 3632397750 5448596625 10897193250