Search a number
-
+
6144838788 = 223113710112457
BaseRepresentation
bin1011011100100001…
…01100110010000100
3120212020121011010210
411232100230302010
5100041034320123
62453425115420
7305163160614
oct55620546204
916766534123
106144838788
112673668370
121235a88b70
1376c0ab6aa
14424152a44
1525e6e7e93
hex16e42cc84

6144838788 has 96 divisors (see below), whose sum is σ = 16224501888. Its totient is φ = 1793664000.

The previous prime is 6144838781. The next prime is 6144838789. The reversal of 6144838788 is 8878384416.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6144838781) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487056 + ... + 499512.

It is an arithmetic number, because the mean of its divisors is an integer number (169005228).

Almost surely, 26144838788 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 6144838788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8112250944).

6144838788 is an abundant number, since it is smaller than the sum of its proper divisors (10079663100).

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

6144838788 is a wasteful number, since it uses less digits than its factorization.

6144838788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12613 (or 12611 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 57.

The square root of 6144838788 is about 78389.0221140690. The cubic root of 6144838788 is about 1831.6261326060.

The spelling of 6144838788 in words is "six billion, one hundred forty-four million, eight hundred thirty-eight thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 101 111 132 148 202 222 303 404 407 444 606 814 1111 1212 1221 1628 2222 2442 3333 3737 4444 4884 6666 7474 11211 12457 13332 14948 22422 24914 37371 41107 44844 49828 74742 82214 123321 137027 149484 164428 246642 274054 411081 460909 493284 548108 822162 921818 1258157 1382727 1644324 1843636 2516314 2765454 3774471 5032628 5069999 5530908 7548942 10139998 13839727 15097884 15209997 20279996 27679454 30419994 41519181 46551809 55358908 60839988 83038362 93103618 139655427 166076724 186207236 279310854 512069899 558621708 1024139798 1536209697 2048279596 3072419394 6144838788