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9908891680 = 255292135537
BaseRepresentation
bin10010011101001110…
…11011000000100000
3221120120022212000011
421032213123000200
5130243134013210
64315125534304
7500360122012
oct111647330040
927516285004
109908891680
114225346a86
121b06574394
13c1bb6ac1c
146a00081b2
153cedb2d8a
hex24e9db020

9908891680 has 48 divisors (see below), whose sum is σ = 24217000920. Its totient is φ = 3826880512.

The previous prime is 9908891669. The next prime is 9908891683. The reversal of 9908891680 is 861988099.

It can be written as a sum of positive squares in 4 ways, for example, as 9324606096 + 584285584 = 96564^2 + 24172^2 .

It is a super-2 number, since 2×99088916802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is not an unprimeable number, because it can be changed into a prime (9908891683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1063129 + ... + 1072408.

Almost surely, 29908891680 is an apocalyptic number.

It is an amenable number.

9908891680 is an abundant number, since it is smaller than the sum of its proper divisors (14308109240).

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

9908891680 is a wasteful number, since it uses less digits than its factorization.

9908891680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135581 (or 2135573 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 58.

The square root of 9908891680 is about 99543.4160555082. The cubic root of 9908891680 is about 2147.8718209227.

The spelling of 9908891680 in words is "nine billion, nine hundred eight million, eight hundred ninety-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 2135537 4271074 8542148 10677685 17084296 21355370 34168592 42710740 61930573 68337184 85421480 123861146 170842960 247722292 309652865 341685920 495444584 619305730 990889168 1238611460 1981778336 2477222920 4954445840 9908891680