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2730217000356 = 223223672734543
BaseRepresentation
bin100111101110101101100…
…111010100110110100100
3100200000011111221220121100
4213232231213110312210
5324212441023002411
65450124441320100
7401152215411366
oct47565547246644
910600144856540
102730217000356
1196297335804a
12381174196030
1316a5c6023681
1496200d68d36
154b044c75456
hex27bad9d4da4

2730217000356 has 108 divisors (see below), whose sum is σ = 7310540345472. Its totient is φ = 857510207136.

The previous prime is 2730217000327. The next prime is 2730217000373. The reversal of 2730217000356 is 6530007120372.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2730217000356.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3349621 + ... + 4084163.

It is an arithmetic number, because the mean of its divisors is an integer number (67690188384).

Almost surely, 22730217000356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2730217000356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655270172736).

2730217000356 is an abundant number, since it is smaller than the sum of its proper divisors (4580323345116).

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

2730217000356 is a wasteful number, since it uses less digits than its factorization.

2730217000356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734710 (or 734638 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 2730217000356 in words is "two trillion, seven hundred thirty billion, two hundred seventeen million, three hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 23 36 46 67 69 92 134 138 201 207 268 276 402 414 603 804 828 1206 1541 2412 3082 4489 4623 6164 8978 9246 13467 13869 17956 18492 26934 27738 40401 53868 55476 80802 103247 161604 206494 309741 412988 619482 734543 929223 1238964 1469086 1858446 2203629 2938172 3716892 4407258 6610887 8814516 13221774 16894489 26443548 33788978 49214381 50683467 67577956 98428762 101366934 147643143 152050401 196857524 202733868 295286286 304100802 442929429 590572572 608201604 885858858 1131930763 1771717716 2263861526 3297363527 3395792289 4527723052 6594727054 6791584578 9892090581 10187376867 13189454108 13583169156 19784181162 20374753734 29676271743 39568362324 40749507468 59352543486 75839361121 118705086972 151678722242 227518083363 303357444484 455036166726 682554250089 910072333452 1365108500178 2730217000356