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69984010980 = 223251329907697
BaseRepresentation
bin100000100101101011…
…1110100001011100100
320200122022021010001200
41001023113310023210
52121311401322410
652052240122500
75025161164302
oct1011327641344
9220568233050
1069984010980
1127753171304
1211691606430
1367a4039ab0
14355c853272
151c490033c0
hex104b5f42e4

69984010980 has 72 divisors (see below), whose sum is σ = 228614443512. Its totient is φ = 17226832896.

The previous prime is 69984010969. The next prime is 69984010991. The reversal of 69984010980 is 8901048996.

69984010980 is a `hidden beast` number, since 69 + 98 + 401 + 0 + 98 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (69984010969) and next prime (69984010991).

It can be written as a sum of positive squares in 4 ways, for example, as 942244416 + 69041766564 = 30696^2 + 262758^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14951509 + ... + 14956188.

Almost surely, 269984010980 is an apocalyptic number.

69984010980 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

69984010980 is an abundant number, since it is smaller than the sum of its proper divisors (158630432532).

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

69984010980 is a wasteful number, since it uses less digits than its factorization.

69984010980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29907725 (or 29907720 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 69984010980 in words is "sixty-nine billion, nine hundred eighty-four million, ten thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 29907697 59815394 89723091 119630788 149538485 179446182 269169273 299076970 358892364 388800061 448615455 538338546 598153940 777600122 897230910 1076677092 1166400183 1345846365 1555200244 1794461820 1944000305 2332800366 2691692730 3499200549 3888000610 4665600732 5383385460 5832000915 6998401098 7776001220 11664001830 13996802196 17496002745 23328003660 34992005490 69984010980