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3438146900818 = 27267741517901
BaseRepresentation
bin110010000010000001100…
…001100101001101010010
3110011200110100221222202101
4302002001201211031102
5422312311101311233
611151243552111014
7503253325315300
oct62020141451522
913150410858671
103438146900818
111106123325293
1247640453546a
131bc2a632b7b6
14bc59b4cb270
155e67a0ccc7d
hex32081865352

3438146900818 has 24 divisors (see below), whose sum is σ = 5999315655564. Its totient is φ = 1473466932000.

The previous prime is 3438146900801. The next prime is 3438146900869. The reversal of 3438146900818 is 8180096418343.

It can be written as a sum of positive squares in 2 ways, for example, as 3424450177729 + 13696723089 = 1850527^2 + 117033^2 .

It is a super-3 number, since 3×34381469008183 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6379668 + ... + 6897568.

Almost surely, 23438146900818 is an apocalyptic number.

3438146900818 is a deficient number, since it is larger than the sum of its proper divisors (2561168754746).

3438146900818 is a wasteful number, since it uses less digits than its factorization.

3438146900818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585658 (or 585651 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 55.

The spelling of 3438146900818 in words is "three trillion, four hundred thirty-eight billion, one hundred forty-six million, nine hundred thousand, eight hundred eighteen".

Divisors: 1 2 7 14 49 98 67741 135482 474187 517901 948374 1035802 3319309 3625307 6638618 7250614 25377149 50754298 35083131641 70166263282 245581921487 491163842974 1719073450409 3438146900818