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20116233026240 = 2651322132185103
BaseRepresentation
bin1001001001011101011001…
…11011000111101011000000
32122020002111212102000121112
410210232230323013223000
510114041021123314430
6110441134143142452
74144231002316331
oct444565473075300
978202455360545
1020116233026240
116456279128aaa
12230a7b18a4a28
13b2bc4cc28240
144d78b918c288
1524d409296195
hex124bacec7ac0

20116233026240 has 112 divisors (see below), whose sum is σ = 51609866491008. Its totient is φ = 7424172478464.

The previous prime is 20116233026237. The next prime is 20116233026257. The reversal of 20116233026240 is 4262033261102.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 20116233026197 and 20116233026206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8113529 + ... + 10298631.

It is an arithmetic number, because the mean of its divisors is an integer number (460802379384).

Almost surely, 220116233026240 is an apocalyptic number.

20116233026240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20116233026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25804933245504).

20116233026240 is an abundant number, since it is smaller than the sum of its proper divisors (31493633464768).

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

20116233026240 is a wasteful number, since it uses less digits than its factorization.

20116233026240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187346 (or 2187336 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 20116233026240 its reverse (4262033261102), we get a palindrome (24378266287342).

The spelling of 20116233026240 in words is "twenty trillion, one hundred sixteen billion, two hundred thirty-three million, twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 2213 4160 4426 8852 11065 17704 22130 28769 35408 44260 57538 70816 88520 115076 141632 143845 177040 230152 287690 354080 460304 575380 708160 920608 1150760 1841216 2185103 2301520 4370206 4603040 8740412 9206080 10925515 17480824 21851030 28406339 34961648 43702060 56812678 69923296 87404120 113625356 139846592 142031695 174808240 227250712 284063390 349616480 454501424 568126780 699232960 909002848 1136253560 1818005696 2272507120 4545014240 4835632939 9090028480 9671265878 19342531756 24178164695 38685063512 48356329390 62863228207 77370127024 96712658780 125726456414 154740254048 193425317560 251452912828 309480508096 314316141035 386850635120 502905825656 628632282070 773701270240 1005811651312 1257264564140 1547402540480 2011623302624 2514529128280 4023246605248 5029058256560 10058116513120 20116233026240