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69345228288 = 293731208049
BaseRepresentation
bin100000010010101001…
…1000011011000000000
320121222210021120221110
41000211103003120000
52114004334301123
651505020523320
75003303500140
oct1004523033000
9217883246843
1069345228288
1127455634426
12115336b0540
1367018b277b
1434dba92920
151c0cdc4493
hex10254c3600

69345228288 has 160 divisors (see below), whose sum is σ = 217943193600. Its totient is φ = 19173703680.

The previous prime is 69345228263. The next prime is 69345228311. The reversal of 69345228288 is 88282254396.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 229288 + ... + 437336.

It is an arithmetic number, because the mean of its divisors is an integer number (1362144960).

Almost surely, 269345228288 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 69345228288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108971596800).

69345228288 is an abundant number, since it is smaller than the sum of its proper divisors (148597965312).

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

69345228288 is a wasteful number, since it uses less digits than its factorization.

69345228288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208108 (or 208092 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 57.

The spelling of 69345228288 in words is "sixty-nine billion, three hundred forty-five million, two hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 512 651 672 744 768 868 896 992 1302 1344 1488 1536 1736 1792 1984 2604 2688 2976 3472 3584 3968 5208 5376 5952 6944 7936 10416 10752 11904 13888 15872 20832 23808 27776 41664 47616 55552 83328 111104 166656 208049 333312 416098 624147 832196 1248294 1456343 1664392 2496588 2912686 3328784 4369029 4993176 5825372 6449519 6657568 8738058 9986352 11650744 12899038 13315136 17476116 19348557 19972704 23301488 25798076 26630272 34952232 38697114 39945408 45146633 46602976 51596152 53260544 69904464 77394228 79890816 90293266 93205952 103192304 106521088 135439899 139808928 154788456 159781632 180586532 186411904 206384608 270879798 279617856 309576912 319563264 361173064 372823808 412769216 541759596 559235712 619153824 722346128 745647616 825538432 1083519192 1118471424 1238307648 1444692256 1651076864 2167038384 2236942848 2476615296 2889384512 3302153728 4334076768 4953230592 5778769024 8668153536 9906461184 11557538048 17336307072 23115076096 34672614144 69345228288