Search a number
-
+
2741057073755 = 57111337127116549
BaseRepresentation
bin100111111000110011101…
…110111011001001011011
3100201001010222110200210022
4213320303232323021123
5324402141102330010
65455120233541055
7402014643462050
oct47706356731133
910631128420708
102741057073755
119675262936a0
1238329a57478b
1316b632a84aa0
149694c8c9027
154b47b773d55
hex27e33bbb25b

2741057073755 has 128 divisors (see below), whose sum is σ = 4571475148800. Its totient is φ = 1522545776640.

The previous prime is 2741057073751. The next prime is 2741057073761. The reversal of 2741057073755 is 5573707501472.

It is a happy number.

It is not a de Polignac number, because 2741057073755 - 22 = 2741057073751 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2741057073697 and 2741057073706.

It is not an unprimeable number, because it can be changed into a prime (2741057073751) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23460221 + ... + 23576769.

It is an arithmetic number, because the mean of its divisors is an integer number (35714649600).

Almost surely, 22741057073755 is an apocalyptic number.

2741057073755 is a deficient number, since it is larger than the sum of its proper divisors (1830418075045).

2741057073755 is a wasteful number, since it uses less digits than its factorization.

2741057073755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116749.

The product of its (nonzero) digits is 7203000, while the sum is 53.

The spelling of 2741057073755 in words is "two trillion, seven hundred forty-one billion, fifty-seven million, seventy-three thousand, seven hundred fifty-five".

Divisors: 1 5 7 11 13 35 37 55 65 77 91 127 143 185 259 385 407 455 481 635 715 889 1001 1295 1397 1651 2035 2405 2849 3367 4445 4699 5005 5291 6985 8255 9779 11557 14245 16835 18161 23495 26455 32893 37037 48895 51689 57785 61087 90805 116549 127127 164465 185185 258445 305435 361823 427609 582745 635635 671957 815843 1282039 1515137 1809115 2138045 3359785 4079215 4312313 4703699 6410195 7575685 8974273 10605959 14801723 16666507 21561565 23518495 30186191 44871365 47435443 53029795 56060069 74008615 83332535 103612061 116665549 150930955 162818953 192422399 237177215 280300345 332048101 392420483 518060305 547663751 583327745 616660759 814094765 962111995 1139732671 1346956793 1660240505 1962102415 2116646389 2738318755 3083303795 3833646257 4316625313 5698663355 6024301261 6734783965 7119628763 10583231945 14816524723 19168231285 21583126565 30121506305 35598143815 42170108827 49837401341 74082623615 78315916393 210850544135 249187006705 391579581965 548211414751 2741057073755