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3454354636020 = 22325118116249669
BaseRepresentation
bin110010010001000111100…
…101001011110011110100
3110020020021220200020200100
4302101013211023303310
5423044004241323040
611202524132114100
7504366061640511
oct62210745136364
913206256606610
103454354636020
111111a90156672
12479588465930
131c098a149a62
14bd297c96308
155ecc7e59b30
hex3244794bcf4

3454354636020 has 72 divisors (see below), whose sum is σ = 10487082027240. Its totient is φ = 920381195520.

The previous prime is 3454354635997. The next prime is 3454354636037. The reversal of 3454354636020 is 206364534543.

3454354636020 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 3 + 5 + 4 + 636 + 0 + 2 + 0 = 666.

3454354636020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 582895602576 + 2871459033444 = 763476^2 + 1694538^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7912255 + ... + 8337414.

It is an arithmetic number, because the mean of its divisors is an integer number (145653917045).

Almost surely, 23454354636020 is an apocalyptic number.

3454354636020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3454354636020 is an abundant number, since it is smaller than the sum of its proper divisors (7032727391220).

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

3454354636020 is a wasteful number, since it uses less digits than its factorization.

3454354636020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16250865 (or 16250860 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 45.

The spelling of 3454354636020 in words is "three trillion, four hundred fifty-four billion, three hundred fifty-four million, six hundred thirty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1181 2362 3543 4724 5905 7086 10629 11810 14172 17715 21258 23620 35430 42516 53145 70860 106290 212580 16249669 32499338 48749007 64998676 81248345 97498014 146247021 162496690 194996028 243745035 292494042 324993380 487490070 584988084 731235105 974980140 1462470210 2924940420 19190859089 38381718178 57572577267 76763436356 95954295445 115145154534 172717731801 191908590890 230290309068 287862886335 345435463602 383817181780 575725772670 690870927204 863588659005 1151451545340 1727177318010 3454354636020