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2164130314612 = 227212941853217
BaseRepresentation
bin11111011111100000001…
…101111111100101110100
321122212222221222201110021
4133133200031333211310
5240424114330031422
64334104315134524
7312232111105600
oct37374015774564
97585887881407
102164130314612
117648911644a2
122ab50aa44444
131290cc41b426
1476a5cb5a500
153b462381dc7
hex1f7e037f974

2164130314612 has 36 divisors (see below), whose sum is σ = 4405896595044. Its totient is φ = 927411663360.

The previous prime is 2164130314607. The next prime is 2164130314637.

2164130314612 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1855932130276 + 308198184336 = 1362326^2 + 555156^2 .

It is a congruent number.

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, 2109828 + ... + 2963044.

It is an arithmetic number, because the mean of its divisors is an integer number (122386016529).

Almost surely, 22164130314612 is an apocalyptic number.

It is an amenable number.

2164130314612 is an abundant number, since it is smaller than the sum of its proper divisors (2241766280432).

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

2164130314612 is a wasteful number, since it uses less digits than its factorization.

2164130314612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866176 (or 866167 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

It can be divided in two parts, 2164130 and 314612, that added together give a palindrome (2478742).

The spelling of 2164130314612 in words is "two trillion, one hundred sixty-four billion, one hundred thirty million, three hundred fourteen thousand, six hundred twelve".

Divisors: 1 2 4 7 14 28 49 98 196 12941 25882 51764 90587 181174 362348 634109 853217 1268218 1706434 2536436 3412868 5972519 11945038 23890076 41807633 83615266 167230532 11041481197 22082962394 44165924788 77290368379 154580736758 309161473516 541032578653 1082065157306 2164130314612