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2741616022041 = 3213792053144479
BaseRepresentation
bin100111111001010101000…
…011001001001000011001
3100201002120221020012200200
4213321111003021020121
5324404312200201131
65455251522052413
7402034541452641
oct47712503111031
910632527205620
102741616022041
11967792852826
123834157aa109
1316b6c1809210
14969a2c27521
154b4b08832e6
hex27e550c9219

2741616022041 has 48 divisors (see below), whose sum is σ = 4320853555200. Its totient is φ = 1664969095296.

The previous prime is 2741616022009. The next prime is 2741616022097. The reversal of 2741616022041 is 1402206161472.

2741616022041 is a `hidden beast` number, since 2 + 7 + 4 + 1 + 6 + 1 + 602 + 2 + 0 + 41 = 666.

It is not a de Polignac number, because 2741616022041 - 25 = 2741616022009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2741616021987 and 2741616022005.

It is not an unprimeable number, because it can be changed into a prime (2741616020041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 18903640 + ... + 19048118.

It is an arithmetic number, because the mean of its divisors is an integer number (90017782400).

Almost surely, 22741616022041 is an apocalyptic number.

It is an amenable number.

2741616022041 is a deficient number, since it is larger than the sum of its proper divisors (1579237533159).

2741616022041 is a wasteful number, since it uses less digits than its factorization.

2741616022041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146630 (or 146627 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 2741616022041 in words is "two trillion, seven hundred forty-one billion, six hundred sixteen million, twenty-two thousand, forty-one".

Divisors: 1 3 9 13 39 79 117 237 711 1027 2053 3081 6159 9243 18477 26689 80067 144479 162187 240201 433437 486561 1300311 1459683 1878227 2108431 5634681 6325293 11413841 16904043 18975879 34241523 102724569 148379933 296615387 445139799 889846161 1335419397 2669538483 3856000031 11568000093 23432615573 34704000279 70297846719 210893540157 304624002449 913872007347 2741616022041