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3079493664 = 253132672833
BaseRepresentation
bin1011011110001101…
…0101100000100000
321221121121111010220
42313203111200200
522301322244124
61225324123040
7136212156432
oct26743254040
97847544126
103079493664
111340326195
1271b396480
133a0cc8300
14212dba652
15130547879
hexb78d5820

3079493664 has 144 divisors (see below), whose sum is σ = 8887106592. Its totient is φ = 933064704.

The previous prime is 3079493653. The next prime is 3079493671. The reversal of 3079493664 is 4663949703.

It is a super-2 number, since 2×30794936642 = 18966562453232289792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1085592 + ... + 1088424.

It is an arithmetic number, because the mean of its divisors is an integer number (61716018).

Almost surely, 23079493664 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 3079493664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443553296).

3079493664 is an abundant number, since it is smaller than the sum of its proper divisors (5807612928).

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

3079493664 is a wasteful number, since it uses less digits than its factorization.

3079493664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 51.

The square root of 3079493664 is about 55493.1857438371. The cubic root of 3079493664 is about 1454.8775362499.

The spelling of 3079493664 in words is "three billion, seventy-nine million, four hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 67 78 96 104 134 156 169 201 208 268 312 338 402 416 507 536 624 676 804 871 1014 1072 1248 1352 1608 1742 2028 2144 2613 2704 2833 3216 3484 4056 5226 5408 5666 6432 6968 8112 8499 10452 11323 11332 13936 16224 16998 20904 22646 22664 27872 33969 33996 36829 41808 45292 45328 67938 67992 73658 83616 90584 90656 110487 135876 135984 147316 181168 189811 220974 271752 271968 294632 362336 379622 441948 478777 543504 569433 589264 759244 883896 957554 1087008 1138866 1178528 1436331 1518488 1767792 1915108 2277732 2467543 2872662 3036976 3535584 3830216 4555464 4935086 5745324 6073952 7402629 7660432 9110928 9870172 11490648 14805258 15320864 18221856 19740344 22981296 29610516 32078059 39480688 45962592 59221032 64156118 78961376 96234177 118442064 128312236 192468354 236884128 256624472 384936708 513248944 769873416 1026497888 1539746832 3079493664