Search a number
-
+
1061171728443 = 331729313487523
BaseRepresentation
bin11110111000100101100…
…00111001000000111011
310202110001212211012111000
433130102300321000323
5114341234430302233
62131255012540043
7136444552602441
oct17342260710073
93673055735430
101061171728443
1137a049859972
121517b4321623
13790b66cbb68
143950a78ab91
151c90bcbcd13
hexf712c3903b

1061171728443 has 128 divisors (see below), whose sum is σ = 1734341068800. Its totient is φ = 638280953856.

The previous prime is 1061171728433. The next prime is 1061171728459. The reversal of 1061171728443 is 3448271711601.

1061171728443 is a `hidden beast` number, since 1 + 0 + 611 + 7 + 1 + 7 + 28 + 4 + 4 + 3 = 666.

1061171728443 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1061171728443 - 210 = 1061171727419 is a prime.

It is a super-2 number, since 2×10611717284432 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1061171728433) 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, 2029008780 + ... + 2029009302.

It is an arithmetic number, because the mean of its divisors is an integer number (13549539600).

Almost surely, 21061171728443 is an apocalyptic number.

1061171728443 is a deficient number, since it is larger than the sum of its proper divisors (673169340357).

1061171728443 is a wasteful number, since it uses less digits than its factorization.

1061171728443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1061171728443 in words is "one trillion, sixty-one billion, one hundred seventy-one million, seven hundred twenty-eight thousand, four hundred forty-three".

Divisors: 1 3 9 17 27 29 51 87 153 261 313 459 487 493 523 783 939 1461 1479 1569 2817 4383 4437 4707 5321 8279 8451 8891 9077 13149 13311 14121 14123 15167 15963 24837 26673 27231 42369 45501 47889 74511 80019 81693 127107 136503 143667 152431 154309 163699 223533 240057 240091 245079 254701 257839 381321 409509 457293 462927 491097 720273 764103 773517 1371879 1388781 1473291 2160819 2292309 2320551 2591327 2782883 4115637 4166343 4329917 4419873 4420499 4747271 6482457 6876927 6961653 7386329 7773981 8348649 12989751 13261497 14241813 22158987 23321943 25045947 38969253 39784491 42725439 66476961 69965829 75137841 75148483 79721413 80703607 116907759 119353473 125567593 128176317 199430883 225445449 239164239 242110821 376702779 676336347 717492717 726332463 1130108337 1355264021 2029009041 2152478151 2178997389 2311920977 3390325011 4065792063 6935762931 12197376189 20807288793 36592128567 39302656609 62421866379 117907969827 353723909481 1061171728443