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2742041673 = 337174389223
BaseRepresentation
bin1010001101110000…
…0011110001001001
321002002122011001000
42203130003301021
521103430313143
61132031245213
7124643653410
oct24334036111
97062564030
102742041673
1111878a1548
12646379809
13349116687
141c0258477
15110adbbd3
hexa3703c49

2742041673 has 128 divisors (see below), whose sum is σ = 5109350400. Its totient is φ = 1417844736.

The previous prime is 2742041663. The next prime is 2742041689. The reversal of 2742041673 is 3761402472.

It is not a de Polignac number, because 2742041673 - 210 = 2742040649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2742041663) 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, 12296040 + ... + 12296262.

It is an arithmetic number, because the mean of its divisors is an integer number (39916800).

Almost surely, 22742041673 is an apocalyptic number.

It is an amenable number.

2742041673 is a deficient number, since it is larger than the sum of its proper divisors (2367308727).

2742041673 is a wasteful number, since it uses less digits than its factorization.

2742041673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2742041673 is about 52364.5077605051. The cubic root of 2742041673 is about 1399.6668719294. Note that the first 3 decimals are identical.

The spelling of 2742041673 in words is "two billion, seven hundred forty-two million, forty-one thousand, six hundred seventy-three".

Divisors: 1 3 7 9 17 21 27 43 51 63 89 119 129 153 189 223 267 301 357 387 459 623 669 731 801 903 1071 1161 1513 1561 1869 2007 2193 2403 2709 3213 3791 3827 4539 4683 5117 5607 6021 6579 8127 9589 10591 11373 11481 13617 14049 15351 16821 19737 19847 26537 26789 28767 31773 34119 34443 40851 42147 46053 59541 65059 67123 79611 80367 86301 95319 102357 103329 138159 138929 163013 178623 195177 201369 238833 241101 258903 285957 337399 416787 455413 489039 535869 585531 604107 716499 723303 853421 1012197 1141091 1250361 1366239 1467117 1756593 1812321 2361793 2560263 3036591 3423273 3751083 4098717 4401351 5973947 7085379 7680789 9109773 10269819 12296151 14508157 17921841 21256137 23042367 30809457 43524471 53765523 63768411 101557099 130573413 161296569 304671297 391720239 914013891 2742041673