Search a number
-
+
9689642688 = 263115977761
BaseRepresentation
bin10010000011000110…
…00011011011000000
3221000021202211221010
421001203003123000
5124321022031223
64241254400520
7462055414065
oct110143033300
927007684833
109689642688
114122606a70
121a65060140
13bb56042ab
1467cc54c6c
153baa05393
hex2418c36c0

9689642688 has 112 divisors (see below), whose sum is σ = 28442229120. Its totient is φ = 2886451200.

The previous prime is 9689642593. The next prime is 9689642693. The reversal of 9689642688 is 8862469869.

It is a super-2 number, since 2×96896426882 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85728 + ... + 163488.

Almost surely, 29689642688 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 9689642688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14221114560).

9689642688 is an abundant number, since it is smaller than the sum of its proper divisors (18752586432).

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

9689642688 is a wasteful number, since it uses less digits than its factorization.

9689642688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77846 (or 77836 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 66.

The square root of 9689642688 is about 98435.9826892585. The cubic root of 9689642688 is about 2131.9119019010.

The spelling of 9689642688 in words is "nine billion, six hundred eighty-nine million, six hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 59 64 66 88 96 118 132 176 177 192 236 264 352 354 472 528 649 704 708 944 1056 1298 1416 1888 1947 2112 2596 2832 3776 3894 5192 5664 7788 10384 11328 15576 20768 31152 41536 62304 77761 124608 155522 233283 311044 466566 622088 855371 933132 1244176 1710742 1866264 2488352 2566113 3421484 3732528 4587899 4976704 5132226 6842968 7465056 9175798 10264452 13685936 13763697 14930112 18351596 20528904 27371872 27527394 36703192 41057808 50466889 54743744 55054788 73406384 82115616 100933778 110109576 146812768 151400667 164231232 201867556 220219152 293625536 302801334 403735112 440438304 605602668 807470224 880876608 1211205336 1614940448 2422410672 3229880896 4844821344 9689642688