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20284245468 = 223223169914419
BaseRepresentation
bin10010111001000010…
…010000010111011100
31221100122101102201200
4102321002100113130
5313020231323333
613152441435500
71315443145614
oct227102202734
957318342650
1020284245468
118669a22933
123b2119bb90
131bb354a816
14da5d57a44
157dabb6c13
hex4b90905dc

20284245468 has 72 divisors (see below), whose sum is σ = 53538576000. Its totient is φ = 6463185696.

The previous prime is 20284245467. The next prime is 20284245493. The reversal of 20284245468 is 86454248202.

20284245468 is a `hidden beast` number, since 2 + 0 + 2 + 84 + 24 + 546 + 8 = 666.

It is a super-2 number, since 2×202842454682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20284245463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1399563 + ... + 1413981.

Almost surely, 220284245468 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 20284245468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26769288000).

20284245468 is an abundant number, since it is smaller than the sum of its proper divisors (33254330532).

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

20284245468 is a wasteful number, since it uses less digits than its factorization.

20284245468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16151 (or 16146 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 20284245468 in words is "twenty billion, two hundred eighty-four million, two hundred forty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1699 3398 5097 6796 10194 14419 15291 20388 28838 30582 39077 43257 57676 61164 78154 86514 117231 129771 156308 173028 234462 259542 331637 351693 468924 519084 663274 703386 994911 1326548 1406772 1989822 2984733 3979644 5969466 11938932 24497881 48995762 73493643 97991524 146987286 220480929 293974572 440961858 563451263 881923716 1126902526 1690353789 2253805052 3380707578 5071061367 6761415156 10142122734 20284245468