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6894144048 = 24311128310177
BaseRepresentation
bin1100110101110110…
…00100101000110000
3122210110112210201110
412122323010220300
5103104400102143
63100033233320
7332562154221
oct63273045060
918713483643
106894144048
112a18623510
121404a02840
1385b3c1b9c
14495883248
152a53a9533
hex19aec4a30

6894144048 has 80 divisors (see below), whose sum is σ = 19446005376. Its totient is φ = 2087301120.

The previous prime is 6894144031. The next prime is 6894144067. The reversal of 6894144048 is 8404414986.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 6894143988 and 6894144006.

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, 672336 + ... + 682512.

Almost surely, 26894144048 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 6894144048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9723002688).

6894144048 is an abundant number, since it is smaller than the sum of its proper divisors (12551861328).

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

6894144048 is a wasteful number, since it uses less digits than its factorization.

6894144048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11482 (or 11476 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 6894144048 is about 83030.9824583571. The cubic root of 6894144048 is about 1903.2395378349.

The spelling of 6894144048 in words is "six billion, eight hundred ninety-four million, one hundred forty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1283 2566 3849 5132 7698 10177 10264 14113 15396 20354 20528 28226 30531 30792 40708 42339 56452 61062 61584 81416 84678 111947 112904 122124 162832 169356 223894 225808 244248 335841 338712 447788 488496 671682 677424 895576 1343364 1791152 2686728 5373456 13057091 26114182 39171273 52228364 78342546 104456728 143628001 156685092 208913456 287256002 313370184 430884003 574512004 626740368 861768006 1149024008 1723536012 2298048016 3447072024 6894144048