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2745544455472 = 2471323751109169
BaseRepresentation
bin100111111100111111001…
…100111011010100110000
3100201110201201021022021011
4213330333030323110300
5324440333340033342
65501141414040304
7402234102546430
oct47747714732460
910643651238234
102745544455472
119694192a5a25
12384131349094
1316bb99661040
1496c5686c2c0
154b6406bd717
hex27f3f33b530

2745544455472 has 160 divisors (see below), whose sum is σ = 6840882155520. Its totient is φ = 1037532672000.

The previous prime is 2745544455469. The next prime is 2745544455503.

2745544455472 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25094904 + ... + 25204072.

It is an arithmetic number, because the mean of its divisors is an integer number (42755513472).

Almost surely, 22745544455472 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 2745544455472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420441077760).

2745544455472 is an abundant number, since it is smaller than the sum of its proper divisors (4095337700048).

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

2745544455472 is a wasteful number, since it uses less digits than its factorization.

2745544455472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109971 (or 109965 counting only the distinct ones).

The product of its digits is 125440000, while the sum is 58.

The spelling of 2745544455472 in words is "two trillion, seven hundred forty-five billion, five hundred forty-four million, four hundred fifty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 52 56 91 92 104 112 161 182 184 208 299 322 364 368 598 644 728 751 1196 1288 1456 1502 2093 2392 2576 3004 4186 4784 5257 6008 8372 9763 10514 12016 16744 17273 19526 21028 33488 34546 39052 42056 68341 69092 78104 84112 109169 120911 136682 138184 156208 218338 224549 241822 273364 276368 436676 449098 483644 546728 764183 873352 898196 967288 1093456 1419197 1528366 1571843 1746704 1796392 1934576 2510887 2838394 3056732 3143686 3592784 5021774 5676788 6113464 6287372 9934379 10043548 11353576 12226928 12574744 17576209 19868758 20087096 22707152 25149488 32641531 35152418 39737516 40174192 65283062 70304836 79475032 81985919 130566124 140609672 158950064 163971838 228490717 261132248 281219344 327943676 456981434 522264496 573901433 655887352 913962868 1065816947 1147802866 1311774704 1827925736 1885676137 2131633894 2295605732 3655851472 3771352274 4263267788 4591211464 7460718629 7542704548 8526535576 9182422928 13199732959 14921437258 15085409096 17053071152 24513789781 26399465918 29842874516 30170818192 49027579562 52798931836 59685749032 98055159124 105597863672 119371498064 171596528467 196110318248 211195727344 343193056934 392220636496 686386113868 1372772227736 2745544455472