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69679778976 = 253217129710973
BaseRepresentation
bin100000011100100111…
…1010000110010100000
320122212002210112012200
41000321033100302200
52120201010411401
652002131253200
75014505230443
oct1007117206240
9218762715180
1069679778976
11276074672a5
121160774a200
136755cb9962
14353029b65a
151c2c45a686
hex10393d0ca0

69679778976 has 144 divisors (see below), whose sum is σ = 209988762984. Its totient is φ = 21841477632.

The previous prime is 69679778963. The next prime is 69679778981. The reversal of 69679778976 is 67987797696.

It can be written as a sum of positive squares in 4 ways, for example, as 68089683600 + 1590095376 = 260940^2 + 39876^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 69679778895 and 69679778904.

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, 6344626 + ... + 6355598.

Almost surely, 269679778976 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 69679778976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104994381492).

69679778976 is an abundant number, since it is smaller than the sum of its proper divisors (140308984008).

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

69679778976 is a wasteful number, since it uses less digits than its factorization.

69679778976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12303 (or 12292 counting only the distinct ones).

The product of its digits is 3024568512, while the sum is 81.

The spelling of 69679778976 in words is "sixty-nine billion, six hundred seventy-nine million, seven hundred seventy-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1297 1632 2448 2594 3891 4896 5188 7782 10376 10973 11673 15564 20752 21946 22049 23346 31128 32919 41504 43892 44098 46692 62256 65838 66147 87784 88196 93384 98757 124512 131676 132294 175568 176392 186541 186768 197514 198441 263352 264588 351136 352784 373082 373536 395028 396882 526704 529176 559623 705568 746164 790056 793764 1053408 1058352 1119246 1492328 1580112 1587528 1678869 2116704 2238492 2984656 3160224 3175056 3357738 4476984 5969312 6350112 6715476 8953968 13430952 14231981 17907936 26861904 28463962 42695943 53723808 56927924 85391886 113855848 128087829 170783772 227711696 241943677 256175658 341567544 455423392 483887354 512351316 683135088 725831031 967774708 1024702632 1366270176 1451662062 1935549416 2049405264 2177493093 2903324124 3871098832 4098810528 4354986186 5806648248 7742197664 8709972372 11613296496 17419944744 23226592992 34839889488 69679778976