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194837834016 = 2532796645751
BaseRepresentation
bin1011010101110100111…
…1010110100100100000
3200121220120202111000200
42311131033112210200
511143011441142031
6225301322545200
720035156156260
oct2653517264440
9617816674020
10194837834016
11756a2972521
1231916968200
13154b09c1ca7
1496046897a0
1551051888e6
hex2d5d3d6920

194837834016 has 72 divisors (see below), whose sum is σ = 633222967104. Its totient is φ = 55667952000.

The previous prime is 194837833973. The next prime is 194837834021. The reversal of 194837834016 is 610438738491.

194837834016 is a `hidden beast` number, since 1 + 94 + 83 + 78 + 3 + 401 + 6 = 666.

194837834016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 48320860 + ... + 48324891.

It is an arithmetic number, because the mean of its divisors is an integer number (8794763432).

Almost surely, 2194837834016 is an apocalyptic number.

194837834016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

194837834016 is an abundant number, since it is smaller than the sum of its proper divisors (438385133088).

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

194837834016 is a wasteful number, since it uses less digits than its factorization.

194837834016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96645774 (or 96645763 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 194837834016 in words is "one hundred ninety-four billion, eight hundred thirty-seven million, eight hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 96645751 193291502 289937253 386583004 579874506 676520257 773166008 869811759 1159749012 1353040514 1546332016 1739623518 2029560771 2319498024 2706081028 3092664032 3479247036 4059121542 4638996048 5412162056 6088682313 6958494072 8118243084 9277992096 10824324112 12177364626 13916988144 16236486168 21648648224 24354729252 27833976288 32472972336 48709458504 64945944672 97418917008 194837834016