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104726528568 = 233219723930893
BaseRepresentation
bin110000110001000110…
…0000000001000111000
3101000022120102212112100
41201202030000020320
53203434442403233
6120035524543400
710365135543114
oct1414214001070
9330276385470
10104726528568
1140461438a62
1218368851b60
139b4cacb3cc
1450d6a96744
152ace172813
hex1862300238

104726528568 has 96 divisors (see below), whose sum is σ = 286276161600. Its totient is φ = 34585200384.

The previous prime is 104726528563. The next prime is 104726528609. The reversal of 104726528568 is 865825627401.

104726528568 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 26 + 52 + 8 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104726528563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3374530 + ... + 3405422.

It is an arithmetic number, because the mean of its divisors is an integer number (2982043350).

Almost surely, 2104726528568 is an apocalyptic number.

104726528568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

104726528568 is an abundant number, since it is smaller than the sum of its proper divisors (181549633032).

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

104726528568 is a wasteful number, since it uses less digits than its factorization.

104726528568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31341 (or 31334 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 104726528568 in words is "one hundred four billion, seven hundred twenty-six million, five hundred twenty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 197 239 394 478 591 717 788 956 1182 1434 1576 1773 1912 2151 2364 2868 3546 4302 4728 5736 7092 8604 14184 17208 30893 47083 61786 92679 94166 123572 141249 185358 188332 247144 278037 282498 370716 376664 423747 556074 564996 741432 847494 1112148 1129992 1694988 2224296 3389976 6085921 7383427 12171842 14766854 18257763 22150281 24343684 29533708 36515526 44300562 48687368 54773289 59067416 66450843 73031052 88601124 109546578 132901686 146062104 177202248 219093156 265803372 438186312 531606744 1454535119 2909070238 4363605357 5818140476 8727210714 11636280952 13090816071 17454421428 26181632142 34908842856 52363264284 104726528568