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3453856848036 = 2232742839319937
BaseRepresentation
bin110010010000101001111…
…010010001100010100100
3110020012000012222222221100
4302100221322101202210
5423041444323114121
611202402510520100
7504350535545550
oct62205172214244
913205005888840
103453856848036
111111855170141
12479469806030
131c090ac8a75a
14bd24bb18860
155ec993cc026
hex32429e918a4

3453856848036 has 72 divisors (see below), whose sum is σ = 9978072773760. Its totient is φ = 986790122496.

The previous prime is 3453856848031. The next prime is 3453856848067. The reversal of 3453856848036 is 6308486583543.

3453856848036 is a `hidden beast` number, since 3 + 4 + 5 + 38 + 568 + 4 + 8 + 0 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3453856848031) 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 23 ways as a sum of consecutive naturals, for example, 10635460 + ... + 10955396.

It is an arithmetic number, because the mean of its divisors is an integer number (138584344080).

Almost surely, 23453856848036 is an apocalyptic number.

3453856848036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3453856848036 is an abundant number, since it is smaller than the sum of its proper divisors (6524215925724).

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

3453856848036 is a wasteful number, since it uses less digits than its factorization.

3453856848036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362793 (or 362788 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 63.

The spelling of 3453856848036 in words is "three trillion, four hundred fifty-three billion, eight hundred fifty-six million, eight hundred forty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 42839 85678 128517 171356 257034 299873 319937 385551 514068 599746 639874 771102 899619 959811 1199492 1279748 1542204 1799238 1919622 2239559 2698857 2879433 3598476 3839244 4479118 5397714 5758866 6718677 8958236 10795428 11517732 13437354 20156031 26874708 40312062 80624124 13705781143 27411562286 41117343429 54823124572 82234686858 95940468001 123352030287 164469373716 191880936002 246704060574 287821404003 383761872004 493408121148 575642808006 863464212009 1151285616012 1726928424018 3453856848036