Search a number
-
+
2660400064400 = 245213511615397
BaseRepresentation
bin100110101101101100001…
…100110110011110010000
3100102022221212002002101112
4212231230030312132100
5322041444404030100
65354100530152452
7363131123301221
oct46555414663620
910368855062345
102660400064400
119362a6530781
1236b72a722728
13163b4a7b3750
1492a9a7a7248
154930a775b35
hex26b6c336790

2660400064400 has 60 divisors (see below), whose sum is σ = 6883273564692. Its totient is φ = 982301560320.

The previous prime is 2660400064379. The next prime is 2660400064481. The reversal of 2660400064400 is 44600040662.

2660400064400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 8036046736 + 2652364017664 = 89644^2 + 1628608^2 .

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, 255802499 + ... + 255812898.

Almost surely, 22660400064400 is an apocalyptic number.

2660400064400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2660400064400 is an abundant number, since it is smaller than the sum of its proper divisors (4222873500292).

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

2660400064400 is a wasteful number, since it uses less digits than its factorization.

2660400064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511615428 (or 511615417 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 2660400064400 in words is "two trillion, six hundred sixty billion, four hundred million, sixty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 511615397 1023230794 2046461588 2558076985 4092923176 5116153970 6651000161 8185846352 10232307940 12790384925 13302000322 20464615880 25580769850 26604000644 33255000805 40929231760 51161539700 53208001288 66510001610 102323079400 106416002576 133020003220 166275004025 204646158800 266040006440 332550008050 532080012880 665100016100 1330200032200 2660400064400