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2755680721408 = 29293220681
BaseRepresentation
bin101000000110011011010…
…111101101101000000000
3100202102220010102222010001
4220012123113231220000
5330122113231041113
65505535305245344
7403043223440236
oct50063327555000
910672803388101
102755680721408
1197274aa2160a
1238609ba93854
1316cb2364c034
1497538b42956
154ba354e67dd
hex2819b5eda00

2755680721408 has 80 divisors (see below), whose sum is σ = 5702639148360. Its totient is φ = 1330322595840.

The previous prime is 2755680721403. The next prime is 2755680721457. The reversal of 2755680721408 is 8041270865572.

It can be written as a sum of positive squares in 4 ways, for example, as 1951631352064 + 804049369344 = 1397008^2 + 896688^2 .

It is not an unprimeable number, because it can be changed into a prime (2755680721403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12376828 + ... + 12597508.

Almost surely, 22755680721408 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 2755680721408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851319574180).

2755680721408 is an abundant number, since it is smaller than the sum of its proper divisors (2946958426952).

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

2755680721408 is an frugal number, since it uses more digits than its factorization.

2755680721408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220786 (or 220712 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 55.

The spelling of 2755680721408 in words is "two trillion, seven hundred fifty-five billion, six hundred eighty million, seven hundred twenty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 841 928 1682 1856 3364 3712 6728 7424 13456 14848 24389 26912 48778 53824 97556 107648 195112 215296 220681 390224 430592 441362 780448 882724 1560896 1765448 3121792 3530896 6243584 6399749 7061792 12487168 12799498 14123584 25598996 28247168 51197992 56494336 102395984 112988672 185592721 204791968 371185442 409583936 742370884 819167872 1484741768 1638335744 2969483536 3276671488 5382188909 5938967072 10764377818 11877934144 21528755636 23755868288 43057511272 47511736576 86115022544 95023473152 172230045088 344460090176 688920180352 1377840360704 2755680721408