Search a number
-
+
3486634286320 = 245616611080899
BaseRepresentation
bin110010101111001011100…
…110010001110011110000
3110100022121112112101101001
4302233023212101303300
5424111111334130240
611225423201051344
7506621022304243
oct62571346216360
913308545471331
103486634286320
111124745181709
12483896926b54
131c3a328b0653
14c0a7ad9325a
1560a66c8589a
hex32bcb991cf0

3486634286320 has 80 divisors (see below), whose sum is σ = 8251789485600. Its totient is φ = 1369713945600.

The previous prime is 3486634286257. The next prime is 3486634286321. The reversal of 3486634286320 is 236824366843.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3486634286321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2685231 + ... + 3766129.

It is an arithmetic number, because the mean of its divisors is an integer number (103147368570).

Almost surely, 23486634286320 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 3486634286320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4125894742800).

3486634286320 is an abundant number, since it is smaller than the sum of its proper divisors (4765155199280).

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

3486634286320 is a wasteful number, since it uses less digits than its factorization.

3486634286320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081634 (or 1081628 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 55.

The spelling of 3486634286320 in words is "three trillion, four hundred eighty-six billion, six hundred thirty-four million, two hundred eighty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 661 976 1220 1322 2440 2644 3305 4880 5288 6610 10576 13220 26440 40321 52880 80642 161284 201605 322568 403210 645136 806420 1080899 1612840 2161798 3225680 4323596 5404495 8647192 10808990 17294384 21617980 43235960 65934839 86471920 131869678 263739356 329674195 527478712 659348390 714474239 1054957424 1318696780 1428948478 2637393560 2857896956 3572371195 5274787120 5715793912 7144742390 11431587824 14289484780 28578969560 43582928579 57157939120 87165857158 174331714316 217914642895 348663428632 435829285790 697326857264 871658571580 1743317143160 3486634286320