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1056404581771 = 721129372238191
BaseRepresentation
bin11110101111101101001…
…11101010110110001011
310201222202122121001122011
433113312213222312023
5114302004033104041
62125150000240351
7136215455533600
oct17276647526613
93658678531564
101056404581771
11378022934030
121508a39100b7
1378806b8b206
14391b75c06a7
151c72d50ee81
hexf5f69ead8b

1056404581771 has 96 divisors (see below), whose sum is σ = 1430865838080. Its totient is φ = 769744684800.

The previous prime is 1056404581753. The next prime is 1056404581787. The reversal of 1056404581771 is 1771854046501.

It is not a de Polignac number, because 1056404581771 - 227 = 1056270364043 is a prime.

It is a super-2 number, since 2×10564045817712 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (1056404581571) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128967286 + ... + 128975476.

It is an arithmetic number, because the mean of its divisors is an integer number (14904852480).

Almost surely, 21056404581771 is an apocalyptic number.

1056404581771 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1056404581771 is a deficient number, since it is larger than the sum of its proper divisors (374461256309).

1056404581771 is a wasteful number, since it uses less digits than its factorization.

1056404581771 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8505 (or 8498 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 49.

The spelling of 1056404581771 in words is "one trillion, fifty-six billion, four hundred four million, five hundred eighty-one thousand, seven hundred seventy-one".

Divisors: 1 7 11 29 37 49 77 203 223 259 319 407 539 1073 1421 1561 1813 2233 2453 2849 6467 7511 8191 8251 10927 11803 15631 17171 19943 45269 52577 57337 57757 71137 82621 90101 90761 120197 237539 239279 303067 316883 401359 404299 497959 578347 630707 635327 1662773 1674953 1826593 2121469 2612929 2632069 3333737 3485713 4414949 4447289 8788943 11639411 11724671 12786151 14850283 18290503 18424483 20092523 23336159 52971197 61522601 67583941 89503057 96678373 128033521 128971381 140647661 163353113 370798379 430658207 473087587 582683167 676748611 743423351 984533627 1959934289 2595588653 3311613109 4078782169 4737240277 5203963457 13719540023 21559277179 28551475183 36427744199 96036780161 150914940253 1056404581771