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9805075700 = 2252766121191
BaseRepresentation
bin10010010000110110…
…11001010011110100
3221022022222110020212
421020123121103310
5130040044410300
64300540444552
7464656524350
oct111033312364
927268873225
109805075700
114181789552
121a97849758
13c034bc554
14690302460
153c5c07935
hex2486d94f4

9805075700 has 72 divisors (see below), whose sum is σ = 24354524544. Its totient is φ = 3356496000.

The previous prime is 9805075699. The next prime is 9805075717. The reversal of 9805075700 is 75705089.

It is a happy number.

It is a super-2 number, since 2×98050757002 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 452105 + ... + 473295.

Almost surely, 29805075700 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 9805075700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12177262272).

9805075700 is an abundant number, since it is smaller than the sum of its proper divisors (14549448844).

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

9805075700 is a wasteful number, since it uses less digits than its factorization.

9805075700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21873 (or 21866 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 41.

The square root of 9805075700 is about 99020.5822039034. The cubic root of 9805075700 is about 2140.3443487569.

The spelling of 9805075700 in words is "nine billion, eight hundred five million, seventy-five thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 661 700 1322 2644 3305 4627 6610 9254 13220 16525 18508 21191 23135 33050 42382 46270 66100 84764 92540 105955 115675 148337 211910 231350 296674 423820 462700 529775 593348 741685 1059550 1483370 2119100 2966740 3708425 7416850 14007251 14833700 28014502 56029004 70036255 98050757 140072510 196101514 280145020 350181275 392203028 490253785 700362550 980507570 1400725100 1961015140 2451268925 4902537850 9805075700