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3482010877728 = 25347771722269
BaseRepresentation
bin110010101010111000000…
…001010111111100100000
3110022212200022202220002210
4302222320001113330200
5424022124241041403
611223340321242120
7506365322055015
oct62527001277440
913285608686083
103482010877728
111122792401379
12482a06493340
131c3476a88616
14c075cd2170c
1560895e1bb03
hex32ab8057f20

3482010877728 has 48 divisors (see below), whose sum is σ = 9334752577920. Its totient is φ = 1135975178496.

The previous prime is 3482010877727. The next prime is 3482010877783. The reversal of 3482010877728 is 8277780102843.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×34820108777282 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3482010877727) 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 7 ways as a sum of consecutive naturals, for example, 385856623 + ... + 385865646.

It is an arithmetic number, because the mean of its divisors is an integer number (194474012040).

Almost surely, 23482010877728 is an apocalyptic number.

It is an amenable number.

3482010877728 is an abundant number, since it is smaller than the sum of its proper divisors (5852741700192).

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

3482010877728 is a wasteful number, since it uses less digits than its factorization.

3482010877728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771722329 (or 771722321 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 57.

The spelling of 3482010877728 in words is "three trillion, four hundred eighty-two billion, ten million, eight hundred seventy-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 771722269 1543444538 2315166807 3086889076 4630333614 6173778152 9260667228 12347556304 18521334456 24695112608 36270946643 37042668912 72541893286 74085337824 108812839929 145083786572 217625679858 290167573144 435251359716 580335146288 870502719432 1160670292576 1741005438864 3482010877728