Search a number
-
+
2703068862048 = 253273265948353
BaseRepresentation
bin100111010101011011011…
…101011001011001100000
3100120102002111221121000100
4213111123131121121200
5323241341112041143
65425434522422400
7366201365141202
oct47253335313140
910512074847010
102703068862048
119524019a3a05
12377a58361a00
13167b8a7463c9
1494b875a4772
154a4a66cc6d3
hex2755b759660

2703068862048 has 144 divisors (see below), whose sum is σ = 7795243113840. Its totient is φ = 888327585792.

The previous prime is 2703068862031. The next prime is 2703068862073. The reversal of 2703068862048 is 8402688603072.

2703068862048 is a `hidden beast` number, since 2 + 7 + 0 + 3 + 0 + 6 + 8 + 8 + 620 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2703068861985 and 2703068862003.

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, 55878640 + ... + 55926992.

It is an arithmetic number, because the mean of its divisors is an integer number (54133632735).

Almost surely, 22703068862048 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 2703068862048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897621556920).

2703068862048 is an abundant number, since it is smaller than the sum of its proper divisors (5092174251792).

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

2703068862048 is a wasteful number, since it uses less digits than its factorization.

2703068862048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51101 (or 51090 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 2703068862048 in words is "two trillion, seven hundred three billion, sixty-eight million, eight hundred sixty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 1168 1314 1752 2336 2628 2659 3504 5256 5318 7008 7977 10512 10636 15954 21024 21272 23931 31908 42544 47862 48353 63816 85088 95724 96706 127632 145059 191448 193412 194107 255264 290118 382896 386824 388214 435177 580236 582321 765792 773648 776428 870354 1160472 1164642 1547296 1552856 1740708 1746963 2320944 2329284 3105712 3481416 3493926 3529769 4641888 4658568 6211424 6962832 6987852 7059538 9317136 10589307 13925664 13975704 14119076 18634272 21178614 27951408 28238152 31767921 42357228 55902816 56476304 63535842 84714456 112952608 127071684 128570627 169428912 254143368 257141254 338857824 385711881 508286736 514282508 771423762 1016573472 1028565016 1157135643 1542847524 2057130032 2314271286 3085695048 4114260064 4628542572 6171390096 9257085144 9385655771 12342780192 18514170288 18771311542 28156967313 37028340576 37542623084 56313934626 75085246168 84470901939 112627869252 150170492336 168941803878 225255738504 300340984672 337883607756 450511477008 675767215512 901022954016 1351534431024 2703068862048