Search a number
-
+
1056535104056 = 231723511965983
BaseRepresentation
bin11110101111111100110…
…01100100101000111000
310202000002202012021112212
433113332121210220320
5114302240441312211
62125210541554252
7136221632131205
oct17277631445070
93660082167485
101056535104056
1137808a582393
1215091b575988
1378827c2a633
14391caa78cac
151c739be338b
hexf5fe664a38

1056535104056 has 64 divisors (see below), whose sum is σ = 2189190758400. Its totient is φ = 475475793408.

The previous prime is 1056535104013. The next prime is 1056535104059. The reversal of 1056535104056 is 6504015356501.

It is a super-2 number, since 2×10565351040562 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056535104059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15979241 + ... + 16045223.

It is an arithmetic number, because the mean of its divisors is an integer number (34206105600).

Almost surely, 21056535104056 is an apocalyptic number.

It is an amenable number.

1056535104056 is an abundant number, since it is smaller than the sum of its proper divisors (1132655654344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1056535104056 is a wasteful number, since it uses less digits than its factorization.

1056535104056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71148 (or 71144 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 41.

The spelling of 1056535104056 in words is "one trillion, fifty-six billion, five hundred thirty-five million, one hundred four thousand, fifty-six".

Divisors: 1 2 4 8 17 23 34 46 68 92 136 184 391 782 1564 3128 5119 10238 20476 40952 65983 87023 117737 131966 174046 235474 263932 348092 470948 527864 696184 941896 1121711 1517609 2001529 2243422 3035218 4003058 4486844 6070436 8006116 8973688 12140872 16012232 25799353 51598706 103197412 206394824 337766977 675533954 1351067908 2702135816 5742038609 7768640471 11484077218 15537280942 22968154436 31074561884 45936308872 62149123768 132066888007 264133776014 528267552028 1056535104056