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3811001668104 = 23317671091279021
BaseRepresentation
bin110111011101010001011…
…001101001001000001000
3111111022212020222122212210
4313131101121221020020
5444414412411334404
612034425555505120
7542223113460201
oct67352131511010
914438766878783
103811001668104
11123a2670a8564
125167208b81a0
132184b6b69257
14d264c4445a8
15691ed804689
hex37751669208

3811001668104 has 128 divisors (see below), whose sum is σ = 10332451324800. Its totient is φ = 1166957383680.

The previous prime is 3811001668073. The next prime is 3811001668109. The reversal of 3811001668104 is 4018661001183.

It is not an unprimeable number, because it can be changed into a prime (3811001668109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2340114 + ... + 3619134.

It is an arithmetic number, because the mean of its divisors is an integer number (80722275975).

Almost surely, 23811001668104 is an apocalyptic number.

3811001668104 is a gapful number since it is divisible by the number (34) 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 3811001668104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166225662400).

3811001668104 is an abundant number, since it is smaller than the sum of its proper divisors (6521449656696).

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

3811001668104 is a wasteful number, since it uses less digits than its factorization.

3811001668104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279223 (or 1279219 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

Adding to 3811001668104 its reverse (4018661001183), we get a palindrome (7829662669287).

The spelling of 3811001668104 in words is "three trillion, eight hundred eleven billion, one million, six hundred sixty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 67 68 102 109 134 136 201 204 218 268 327 402 408 436 536 654 804 872 1139 1308 1608 1853 2278 2616 3417 3706 4556 5559 6834 7303 7412 9112 11118 13668 14606 14824 21909 22236 27336 29212 43818 44472 58424 87636 124151 175272 248302 372453 496604 744906 993208 1279021 1489812 2558042 2979624 3837063 5116084 7674126 10232168 15348252 21743357 30696504 43486714 65230071 85694407 86973428 130460142 139413289 171388814 173946856 257083221 260920284 278826578 342777628 418239867 514166442 521840568 557653156 685555256 836479734 1028332884 1115306312 1456804919 1672959468 2056665768 2370025913 2913609838 3345918936 4370414757 4740051826 5827219676 7110077739 8740829514 9340690363 9480103652 11654439352 14220155478 17481659028 18681380726 18960207304 28022071089 28440310956 34963318056 37362761452 56044142178 56880621912 74725522904 112088284356 158791736171 224176568712 317583472342 476375208513 635166944684 952750417026 1270333889368 1905500834052 3811001668104