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42025335336306 = 23275361103165607
BaseRepresentation
bin10011000111000110010010…
…01011110010110101110010
312111210120201212200022000200
421203203021023302311302
521002020341321230211
6225214101133300030
711565141662255040
oct1143431113626562
9174716655608020
1042025335336306
1112432932221023
12486895b934616
131a5ac83985c9a
14a54073a83390
154cd29705ab56
hex2638c92f2d72

42025335336306 has 96 divisors (see below), whose sum is σ = 107764318142208. Its totient is φ = 11587560865920.

The previous prime is 42025335336301. The next prime is 42025335336323. The reversal of 42025335336306 is 60363353352024.

42025335336306 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 5 + 3 + 3 + 5 + 3 + 3 + 630 + 6 = 666.

42025335336306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×420253353363062 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42025335336301) 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 47 ways as a sum of consecutive naturals, for example, 51175446 + ... + 51990161.

It is an arithmetic number, because the mean of its divisors is an integer number (1122544980648).

Almost surely, 242025335336306 is an apocalyptic number.

42025335336306 is an abundant number, since it is smaller than the sum of its proper divisors (65738982805902).

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

42025335336306 is a wasteful number, since it uses less digits than its factorization.

42025335336306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103165736 (or 103165733 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 45.

The spelling of 42025335336306 in words is "forty-two trillion, twenty-five billion, three hundred thirty-five million, three hundred thirty-six thousand, three hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 61 63 106 122 126 159 183 318 366 371 427 477 549 742 854 954 1098 1113 1281 2226 2562 3233 3339 3843 6466 6678 7686 9699 19398 22631 29097 45262 58194 67893 135786 203679 407358 103165607 206331214 309496821 618993642 722159249 928490463 1444318498 1856980926 2166477747 4332955494 5467777171 6293102027 6499433241 10935554342 12586204054 12998866482 16403331513 18879306081 32806663026 37758612162 38274440197 44051714189 49209994539 56637918243 76548880394 88103428378 98419989078 113275836486 114823320591 132155142567 229646641182 264310285134 333534407431 344469961773 396465427701 667068814862 688939923546 792930855402 1000603222293 2001206444586 2334740852017 3001809666879 4669481704034 6003619333758 7004222556051 14008445112102 21012667668153 42025335336306