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8292541706493 = 3112291220364553
BaseRepresentation
bin111100010101100001000…
…0000001011000011111101
31002100202111111012212022120
41320223002000023003331
52041331111134101433
625345312512033153
71514054625331632
oct170530200130375
932322444185276
108292541706493
112707935675200
12b1b1975327b9
13481ca24a8235
1420950b048189
15e5a9497e7b3
hex78ac200b0fd

8292541706493 has 48 divisors (see below), whose sum is σ = 12573559575360. Its totient is φ = 4852007184640.

The previous prime is 8292541706483. The next prime is 8292541706497. The reversal of 8292541706493 is 3946071452928.

It is a happy number.

It is not a de Polignac number, because 8292541706493 - 212 = 8292541702397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8292541706497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128428705 + ... + 128493257.

It is an arithmetic number, because the mean of its divisors is an integer number (261949157820).

It is a 1-persistent number, because it is pandigital, but 2⋅8292541706493 = 16585083412986 is not.

Almost surely, 28292541706493 is an apocalyptic number.

It is an amenable number.

8292541706493 is a deficient number, since it is larger than the sum of its proper divisors (4281017868867).

8292541706493 is a wasteful number, since it uses less digits than its factorization.

8292541706493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76810 (or 76799 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 8292541706493 in words is "eight trillion, two hundred ninety-two billion, five hundred forty-one million, seven hundred six thousand, four hundred ninety-three".

Divisors: 1 3 11 29 33 87 121 319 363 957 3509 10527 12203 36609 64553 134233 193659 353887 402699 710083 1061661 1476563 1872037 2130249 3892757 4429689 5616111 7810913 11678271 20592407 23432739 42820327 61777221 128460981 226516477 679549431 787740259 2363220777 8665142849 22844467511 25995428547 68533402533 95316571339 251289142621 285949714017 753867427863 2764180568831 8292541706493