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84211125444 = 2234259910881
BaseRepresentation
bin100111001101101011…
…1111100110011000100
322001100211002102010000
41032123113330303010
52334431022003234
6102404104401300
76040554520155
oct1163327746304
9261324072100
1084211125444
1132793a91a46
12143a2176230
137c30707714
14410c16992c
1522cd049899
hex139b5fccc4

84211125444 has 30 divisors (see below), whose sum is σ = 220144517054. Its totient is φ = 28070375040.

The previous prime is 84211125389. The next prime is 84211125499. The reversal of 84211125444 is 44452111248.

84211125444 is a `hidden beast` number, since 84 + 2 + 11 + 125 + 444 = 666.

It is an interprime number because it is at equal distance from previous prime (84211125389) and next prime (84211125499).

It can be written as a sum of positive squares in only one way, i.e., 61783067844 + 22428057600 = 248562^2 + 149760^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 84211125399 and 84211125408.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 129955117 + ... + 129955764.

Almost surely, 284211125444 is an apocalyptic number.

It is an amenable number.

84211125444 is an abundant number, since it is smaller than the sum of its proper divisors (135933391610).

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

84211125444 is a wasteful number, since it uses less digits than its factorization.

84211125444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259910897 (or 259910886 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The spelling of 84211125444 in words is "eighty-four billion, two hundred eleven million, one hundred twenty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 259910881 519821762 779732643 1039643524 1559465286 2339197929 3118930572 4678395858 7017593787 9356791716 14035187574 21052781361 28070375148 42105562722 84211125444