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84214447782084 = 223210123161289269
BaseRepresentation
bin10011001001011110110100…
…001111101011100011000100
3102001011211012122212210011200
4103021132310033223203010
542014232142113011314
6455035325550502500
723511202344160224
oct2311366417534304
9361154178783150
1084214447782084
1124919168341484
1295413a8204a30
1337cb508289ca9
1416b2002b30084
159b092744c709
hex4c97b43eb8c4

84214447782084 has 36 divisors (see below), whose sum is σ = 214983087004140. Its totient is φ = 27793547121600.

The previous prime is 84214447782077. The next prime is 84214447782121. The reversal of 84214447782084 is 48028774441248.

It is a happy number.

84214447782084 is a `hidden beast` number, since 8 + 4 + 2 + 1 + 4 + 4 + 477 + 82 + 0 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73720735422084 + 10493712360000 = 8586078^2 + 3239400^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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, 11580640999 + ... + 11580648270.

Almost surely, 284214447782084 is an apocalyptic number.

It is an amenable number.

84214447782084 is an abundant number, since it is smaller than the sum of its proper divisors (130768639222056).

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

84214447782084 is a wasteful number, since it uses less digits than its factorization.

84214447782084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23161289380 (or 23161289375 counting only the distinct ones).

The product of its (nonzero) digits is 102760448, while the sum is 63.

The spelling of 84214447782084 in words is "eighty-four trillion, two hundred fourteen billion, four hundred forty-seven million, seven hundred eighty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 23161289269 46322578538 69483867807 92645157076 138967735614 208451603421 277935471228 416903206842 833806413684 2339290216169 4678580432338 7017870648507 9357160864676 14035741297014 21053611945521 28071482594028 42107223891042 84214447782084