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293130186468 = 223723565126849
BaseRepresentation
bin1000100001111111110…
…10111010111011100100
31001000121202011100012220
410100333322322323210
514300312311431333
6342355005112340
730115016321430
oct4207772727344
91030552140186
10293130186468
11103352391759
12489888586b0
13218467a82a2
141028a9d39c0
15795950d8b3
hex443febaee4

293130186468 has 96 divisors (see below), whose sum is σ = 815841331200. Its totient is φ = 80092953600.

The previous prime is 293130186457. The next prime is 293130186487. The reversal of 293130186468 is 864681031392.

It is a self number, because there is not a number n which added to its sum of digits gives 293130186468.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10904308 + ... + 10931156.

It is an arithmetic number, because the mean of its divisors is an integer number (8498347200).

Almost surely, 2293130186468 is an apocalyptic number.

293130186468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

293130186468 is an abundant number, since it is smaller than the sum of its proper divisors (522711144732).

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

293130186468 is a wasteful number, since it uses less digits than its factorization.

293130186468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32537 (or 32535 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 293130186468 in words is "two hundred ninety-three billion, one hundred thirty million, one hundred eighty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 5651 11302 16953 22604 26849 33906 39557 53698 67812 79114 80547 107396 118671 129973 158228 161094 187943 237342 259946 322188 375886 389919 474684 519892 563829 617527 751772 779838 909811 1127658 1235054 1559676 1819622 1852581 2255316 2470108 2729433 3639244 3705162 4322689 5458866 7410324 8645378 10917732 12968067 17290756 25936134 51872268 151723699 303447398 455171097 606894796 910342194 1062065893 1820684388 2124131786 3186197679 3489645077 4248263572 6372395358 6979290154 10468935231 12744790716 13958580308 20937870462 24427515539 41875740924 48855031078 73282546617 97710062156 146565093234 293130186468