Search a number
-
+
2741141574036 = 223278539696017
BaseRepresentation
bin100111111000111000110…
…001010001000110010100
3100201001100212110202101100
4213320320301101012110
5324402324220332121
65455132453030100
7402020020640415
oct47707061210624
910631325422340
102741141574036
11967569a58a38
12383302925330
1316b64742c658
1496959c0380c
154b483db6026
hex27e38c51194

2741141574036 has 36 divisors (see below), whose sum is σ = 6929879808852. Its totient is φ = 913597411584.

The previous prime is 2741141573981. The next prime is 2741141574043. The reversal of 2741141574036 is 6304751411472.

2741141574036 is a `hidden beast` number, since 2 + 7 + 4 + 1 + 1 + 41 + 574 + 0 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21610764036 + 2719530810000 = 147006^2 + 1649100^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 2741141573982 and 2741141574000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4565301 + ... + 5130716.

It is an arithmetic number, because the mean of its divisors is an integer number (192496661357).

Almost surely, 22741141574036 is an apocalyptic number.

It is an amenable number.

2741141574036 is an abundant number, since it is smaller than the sum of its proper divisors (4188738234816).

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

2741141574036 is a wasteful number, since it uses less digits than its factorization.

2741141574036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9703880 (or 9703875 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 2741141574036 in words is "two trillion, seven hundred forty-one billion, one hundred forty-one million, five hundred seventy-four thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 7853 15706 23559 31412 47118 70677 94236 141354 282708 9696017 19392034 29088051 38784068 58176102 87264153 116352204 174528306 349056612 76142821501 152285643002 228428464503 304571286004 456856929006 685285393509 913713858012 1370570787018 2741141574036