Search a number
-
+
969689664 = 2633836761
BaseRepresentation
bin111001110011000…
…100101001000000
32111120122100011000
4321303010221000
53441220032124
6240115452000
733013140366
oct7163045100
92446570130
10969689664
11458401219
122308b7000
13125b86b88
1492adb636
155a1e56c9
hex39cc4a40

969689664 has 112 divisors (see below), whose sum is σ = 2885480640. Its totient is φ = 319288320.

The previous prime is 969689663. The next prime is 969689701. The reversal of 969689664 is 466986969.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (969689663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140044 + ... + 146804.

It is an arithmetic number, because the mean of its divisors is an integer number (25763220).

Almost surely, 2969689664 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 969689664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442740320).

969689664 is an abundant number, since it is smaller than the sum of its proper divisors (1915790976).

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

969689664 is a wasteful number, since it uses less digits than its factorization.

969689664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6865 (or 6849 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 63.

The square root of 969689664 is about 31139.8404620191. The cubic root of 969689664 is about 989.7927206080.

The spelling of 969689664 in words is "nine hundred sixty-nine million, six hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 144 166 192 216 249 288 332 432 498 576 664 747 864 996 1328 1494 1728 1992 2241 2656 2988 3984 4482 5312 5976 6761 7968 8964 11952 13522 15936 17928 20283 23904 27044 35856 40566 47808 54088 60849 71712 81132 108176 121698 143424 162264 182547 216352 243396 324528 365094 432704 486792 561163 649056 730188 973584 1122326 1298112 1460376 1683489 1947168 2244652 2920752 3366978 3894336 4489304 5050467 5841504 6733956 8978608 10100934 11683008 13467912 15151401 17957216 20201868 26935824 30302802 35914432 40403736 53871648 60605604 80807472 107743296 121211208 161614944 242422416 323229888 484844832 969689664