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20126262014240 = 2551032415067443
BaseRepresentation
bin1001001001110000000101…
…01100101011000100100000
32122021001101210201101210112
410210320002230223010200
510114222041033423430
6110445513243150452
74145034351313364
oct444700254530440
978231353641715
1020126262014240
11645a555242138
122310730515428
13b2cb8a924b75
144d818b0d92a4
1524d7e497d195
hex124e02b2b120

20126262014240 has 96 divisors (see below), whose sum is σ = 48209148763776. Its totient is φ = 7939262730240.

The previous prime is 20126262014203. The next prime is 20126262014297. The reversal of 20126262014240 is 4241026262102.

20126262014240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 = 20126262014197 and 20126262014206.

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, 1437959 + ... + 6505401.

It is an arithmetic number, because the mean of its divisors is an integer number (502178632956).

Almost surely, 220126262014240 is an apocalyptic number.

20126262014240 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 20126262014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24104574381888).

20126262014240 is an abundant number, since it is smaller than the sum of its proper divisors (28082886749536).

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

20126262014240 is a wasteful number, since it uses less digits than its factorization.

20126262014240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5067802 (or 5067794 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 20126262014240 its reverse (4241026262102), we get a palindrome (24367288276342).

The spelling of 20126262014240 in words is "twenty trillion, one hundred twenty-six billion, two hundred sixty-two million, fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 103 160 206 241 412 482 515 824 964 1030 1205 1648 1928 2060 2410 3296 3856 4120 4820 7712 8240 9640 16480 19280 24823 38560 49646 99292 124115 198584 248230 397168 496460 794336 992920 1985840 3971680 5067443 10134886 20269772 25337215 40539544 50674430 81079088 101348860 162158176 202697720 405395440 521946629 810790880 1043893258 1221253763 2087786516 2442507526 2609733145 4175573032 4885015052 5219466290 6106268815 8351146064 9770030104 10438932580 12212537630 16702292128 19540060208 20877865160 24425075260 39080120416 41755730320 48850150520 83511460640 97700301040 125789137589 195400602080 251578275178 503156550356 628945687945 1006313100712 1257891375890 2012626201424 2515782751780 4025252402848 5031565503560 10063131007120 20126262014240