Search a number
-
+
6111334000 = 245319715511
BaseRepresentation
bin1011011000100001…
…11000111001110000
3120202220112221012201
411230100320321300
5100004000142000
62450231032544
7304305324202
oct55420707160
916686487181
106111334000
112656763762
12122680b754
1376517a385
1441d910772
1525b7ca96a
hex16c438e70

6111334000 has 80 divisors (see below), whose sum is σ = 14853174336. Its totient is φ = 2431968000.

The previous prime is 6111333989. The next prime is 6111334027. The reversal of 6111334000 is 4331116.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386245 + ... + 401755.

Almost surely, 26111334000 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 6111334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7426587168).

6111334000 is an abundant number, since it is smaller than the sum of its proper divisors (8741840336).

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

6111334000 is a wasteful number, since it uses less digits than its factorization.

6111334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15731 (or 15715 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 6111334000 is about 78175.0215861819. The cubic root of 6111334000 is about 1828.2910778577.

Adding to 6111334000 its reverse (4331116), we get a palindrome (6115665116).

The spelling of 6111334000 in words is "six billion, one hundred eleven million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 197 200 250 394 400 500 788 985 1000 1576 1970 2000 3152 3940 4925 7880 9850 15511 15760 19700 24625 31022 39400 49250 62044 77555 78800 98500 124088 155110 197000 248176 310220 387775 394000 620440 775550 1240880 1551100 1938875 3055667 3102200 3877750 6111334 6204400 7755500 12222668 15278335 15511000 24445336 30556670 31022000 48890672 61113340 76391675 122226680 152783350 244453360 305566700 381958375 611133400 763916750 1222266800 1527833500 3055667000 6111334000