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20435036112 = 24326118112853
BaseRepresentation
bin10011000010000001…
…011110011111010000
31221202011010101121100
4103002001132133100
5313322332123422
613215425424400
71322253640521
oct230201363720
957664111540
1020435036112
1187370550a7
123b6379b100
131c0886555a
14dbbdaa848
157e90507ac
hex4c205e7d0

20435036112 has 120 divisors (see below), whose sum is σ = 58452948008. Its totient is φ = 6662476800.

The previous prime is 20435036087. The next prime is 20435036117. The reversal of 20435036112 is 21163053402.

20435036112 is a `hidden beast` number, since 2 + 0 + 43 + 5 + 0 + 3 + 611 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2861822016 + 17573214096 = 53496^2 + 132564^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20435036117) 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, 1583478 + ... + 1596330.

Almost surely, 220435036112 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 20435036112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29226474004).

20435036112 is an abundant number, since it is smaller than the sum of its proper divisors (38017911896).

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

20435036112 is a wasteful number, since it uses less digits than its factorization.

20435036112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13109 (or 13100 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 20435036112 its reverse (21163053402), we get a palindrome (41598089514).

The spelling of 20435036112 in words is "twenty billion, four hundred thirty-five million, thirty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 181 183 244 362 366 488 543 549 724 732 976 1086 1098 1448 1464 1629 2172 2196 2896 2928 3258 4344 4392 6516 8688 8784 11041 12853 13032 22082 25706 26064 33123 38559 44164 51412 66246 77118 88328 99369 102824 115677 132492 154236 176656 198738 205648 231354 264984 308472 397476 462708 529968 616944 784033 794952 925416 1568066 1589904 1850832 2326393 2352099 3136132 4652786 4704198 6272264 6979179 7056297 9305572 9408396 12544528 13958358 14112594 18611144 18816792 20937537 27916716 28225188 37222288 37633584 41875074 55833432 56450376 83750148 111666864 112900752 141909973 167500296 283819946 335000592 425729919 567639892 851459838 1135279784 1277189757 1702919676 2270559568 2554379514 3405839352 5108759028 6811678704 10217518056 20435036112