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9687799368 = 23331313725183
BaseRepresentation
bin10010000010111000…
…00001011001001000
3221000011022012101000
421001130001121020
5124320034034433
64241151055000
7462033636012
oct110134013110
927004265330
109687799368
114121568065
121a64511460
13bb510a280
1467c8d51b2
153ba78e113
hex241701648

9687799368 has 128 divisors (see below), whose sum is σ = 29193292800. Its totient is φ = 2958985728.

The previous prime is 9687799339. The next prime is 9687799379. The reversal of 9687799368 is 8639977869.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9687799296 and 9687799305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372105 + ... + 397287.

It is an arithmetic number, because the mean of its divisors is an integer number (228072600).

Almost surely, 29687799368 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 9687799368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14596646400).

9687799368 is an abundant number, since it is smaller than the sum of its proper divisors (19505493432).

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

9687799368 is a wasteful number, since it uses less digits than its factorization.

9687799368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25348 (or 25338 counting only the distinct ones).

The product of its digits is 246903552, while the sum is 72.

The square root of 9687799368 is about 98426.6192043595. The cubic root of 9687799368 is about 2131.7767044468.

The spelling of 9687799368 in words is "nine billion, six hundred eighty-seven million, seven hundred ninety-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 137 156 216 234 274 312 351 411 468 548 702 822 936 1096 1233 1404 1644 1781 2466 2808 3288 3562 3699 4932 5343 7124 7398 9864 10686 14248 14796 16029 21372 25183 29592 32058 42744 48087 50366 64116 75549 96174 100732 128232 151098 192348 201464 226647 302196 327379 384696 453294 604392 654758 679941 906588 982137 1309516 1359882 1813176 1964274 2619032 2719764 2946411 3450071 3928548 5439528 5892822 6900142 7857096 8839233 10350213 11785644 13800284 17678466 20700426 23571288 27600568 31050639 35356932 41400852 44850923 62101278 70713864 82801704 89701846 93151917 124202556 134552769 179403692 186303834 248405112 269105538 358807384 372607668 403658307 538211076 745215336 807316614 1076422152 1210974921 1614633228 2421949842 3229266456 4843899684 9687799368