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349411221094176 = 25324129591058697
BaseRepresentation
bin100111101110010011010001…
…1101101101011111100100000
31200211011101102202201102221100
41033130212203231223330200
5331244223140100003201
63235045144330154400
7133412061534120363
oct11734464355537440
91624141382642840
10349411221094176
11a13735151a316a
123323229ab82a00
1311cc744bb56697
14623d8441800da
152a5dec3814886
hex13dc9a3b6bf20

349411221094176 has 72 divisors (see below), whose sum is σ = 1017873237093804. Its totient is φ = 113629665392640.

The previous prime is 349411221094069. The next prime is 349411221094193. The reversal of 349411221094176 is 671490122114943.

349411221094176 is a `hidden beast` number, since 3 + 4 + 9 + 4 + 1 + 1 + 2 + 210 + 9 + 417 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 270225071298576 + 79186149795600 = 16438524^2 + 8898660^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3494112210941762 (a number of 30 digits) contains 22 as substring.

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, 14795517541 + ... + 14795541156.

Almost surely, 2349411221094176 is an apocalyptic number.

349411221094176 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

349411221094176 is an abundant number, since it is smaller than the sum of its proper divisors (668462015999628).

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

349411221094176 is a wasteful number, since it uses less digits than its factorization.

349411221094176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29591058754 (or 29591058743 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 349411221094176 in words is "three hundred forty-nine trillion, four hundred eleven billion, two hundred twenty-one million, ninety-four thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 11808 29591058697 59182117394 88773176091 118364234788 177546352182 236728469576 266319528273 355092704364 473456939152 532639056546 710185408728 946913878304 1065278113092 1213233406577 1420370817456 2130556226184 2426466813154 2840741634912 3639700219731 4261112452368 4852933626308 7279400439462 8522224904736 9705867252616 10919100659193 14558800878924 19411734505232 21838201318386 29117601757848 38823469010464 43676402636772 58235203515696 87352805273544 116470407031392 174705610547088 349411221094176