Search a number
-
+
2034665786112 = 2836833878923
BaseRepresentation
bin11101100110111011100…
…010000000101100000000
321012111211100122020122020
4131212323202000230000
5231313443420123422
64154413525041440
7266666625552621
oct35467342005400
97174740566566
102034665786112
11714995879aa3
1228a3b9556280
13119b3946b24b
147069a83ba48
1537dd654195c
hex1d9bb880b00

2034665786112 has 72 divisors (see below), whose sum is σ = 5423108128704. Its totient is φ = 677228749824.

The previous prime is 2034665786089. The next prime is 2034665786117. The reversal of 2034665786112 is 2116875664302.

It is a super-2 number, since 2×20346657861122 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2034665786117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1414918 + ... + 2464005.

It is an arithmetic number, because the mean of its divisors is an integer number (75320946232).

Almost surely, 22034665786112 is an apocalyptic number.

It is an amenable number.

2034665786112 is an abundant number, since it is smaller than the sum of its proper divisors (3388442342592).

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

2034665786112 is an equidigital number, since it uses as much as digits as its factorization.

2034665786112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879625 (or 3879611 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 2034665786112 in words is "two trillion, thirty-four billion, six hundred sixty-five million, seven hundred eighty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 683 768 1366 2049 2732 4098 5464 8196 10928 16392 21856 32784 43712 65568 87424 131136 174848 262272 524544 3878923 7757846 11636769 15515692 23273538 31031384 46547076 62062768 93094152 124125536 186188304 248251072 372376608 496502144 744753216 993004288 1489506432 2649304409 2979012864 5298608818 7947913227 10597217636 15895826454 21194435272 31791652908 42388870544 63583305816 84777741088 127166611632 169555482176 254333223264 339110964352 508666446528 678221928704 1017332893056 2034665786112