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20284756146 = 232612302857
BaseRepresentation
bin10010111001000100…
…001101000010110010
31221100200100101020200
4102321010031002302
5313020344144041
613152500420030
71315450403514
oct227104150262
957320311220
1020284756146
11866a241586
123b213a7616
131bb36990b5
14da604bbb4
157dac681b6
hex4b910d0b2

20284756146 has 36 divisors (see below), whose sum is σ = 44682760746. Its totient is φ = 6650717760.

The previous prime is 20284756127. The next prime is 20284756153. The reversal of 20284756146 is 64165748202.

20284756146 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 47 + 561 + 46 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5604768225 + 14679987921 = 74865^2 + 121161^2 .

It is a super-2 number, since 2×202847561462 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 84451 + ... + 218406.

Almost surely, 220284756146 is an apocalyptic number.

20284756146 is an abundant number, since it is smaller than the sum of its proper divisors (24398004600).

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

20284756146 is a wasteful number, since it uses less digits than its factorization.

20284756146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302987 (or 302923 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 20284756146 in words is "twenty billion, two hundred eighty-four million, seven hundred fifty-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098 3721 7442 11163 22326 33489 66978 302857 605714 908571 1817142 2725713 5451426 18474277 36948554 55422831 110845662 166268493 332536986 1126930897 2253861794 3380792691 6761585382 10142378073 20284756146