Search a number
-
+
12333664400 = 245230834161
BaseRepresentation
bin10110111110010010…
…01100100010010000
31011211112222001212012
423133021030202100
5200224404230100
65355505122052
7614432263151
oct133711144220
934745861765
1012333664400
11525a039682
122482629328
13121731b495
14850075928
154c2bce135
hex2df24c890

12333664400 has 30 divisors (see below), whose sum is σ = 29631629682. Its totient is φ = 4933465600.

The previous prime is 12333664391. The next prime is 12333664423. The reversal of 12333664400 is 446633321.

It can be written as a sum of positive squares in 3 ways, for example, as 631617424 + 11702046976 = 25132^2 + 108176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15416681 + ... + 15417480.

Almost surely, 212333664400 is an apocalyptic number.

12333664400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12333664400 is an abundant number, since it is smaller than the sum of its proper divisors (17297965282).

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

12333664400 is a wasteful number, since it uses less digits than its factorization.

12333664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30834179 (or 30834168 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

The spelling of 12333664400 in words is "twelve billion, three hundred thirty-three million, six hundred sixty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 30834161 61668322 123336644 154170805 246673288 308341610 493346576 616683220 770854025 1233366440 1541708050 2466732880 3083416100 6166832200 12333664400