Search a number
-
+
6011630664 = 2331356933863
BaseRepresentation
bin1011001100101001…
…00011010001001000
3120111221221110221120
411212110203101020
544302434140124
62432310035240
7301655006004
oct54624432110
916457843846
106011630664
112605455106
1211b9348b20
1374a60b910
14410599704
15252b83d79
hex166523448

6011630664 has 64 divisors (see below), whose sum is σ = 16214083200. Its totient is φ = 1846427136.

The previous prime is 6011630633. The next prime is 6011630671. The reversal of 6011630664 is 4660361106.

It is a super-2 number, since 2×60116306642 = 72279406480690161792, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160597 + ... + 194459.

It is an arithmetic number, because the mean of its divisors is an integer number (253345050).

Almost surely, 26011630664 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 6011630664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8107041600).

6011630664 is an abundant number, since it is smaller than the sum of its proper divisors (10202452536).

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

6011630664 is a wasteful number, since it uses less digits than its factorization.

6011630664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34454 (or 34450 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 6011630664 is about 77534.7061901959. The cubic root of 6011630664 is about 1818.2939638239.

The spelling of 6011630664 in words is "six billion, eleven million, six hundred thirty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 569 1138 1707 2276 3414 4552 6828 7397 13656 14794 22191 29588 33863 44382 59176 67726 88764 101589 135452 177528 203178 270904 406356 440219 812712 880438 1320657 1760876 2641314 3521752 5282628 10565256 19268047 38536094 57804141 77072188 115608282 154144376 231216564 250484611 462433128 500969222 751453833 1001938444 1502907666 2003876888 3005815332 6011630664