Search a number
-
+
8482078121742 = 233315066952283
BaseRepresentation
bin111101101101110001101…
…0000001101111100001110
31010000212201121102100222000
41323123203100031330032
52102432243444343432
630012340215133130
71533544542304641
oct173334320157416
933025647370860
108482078121742
112780257a772a5
12b4ba729741a6
13496b19a64b34
1421476b5ada58
15ea9894c257c
hex7b6e340df0e

8482078121742 has 32 divisors (see below), whose sum is σ = 19457096770560. Its totient is φ = 2736154232280.

The previous prime is 8482078121689. The next prime is 8482078121747. The reversal of 8482078121742 is 2471218702848.

8482078121742 is a `hidden beast` number, since 8 + 482 + 0 + 78 + 1 + 21 + 74 + 2 = 666.

It is a super-2 number, since 2×84820781217422 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8482078121747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2533474468 + ... + 2533477815.

It is an arithmetic number, because the mean of its divisors is an integer number (608034274080).

Almost surely, 28482078121742 is an apocalyptic number.

8482078121742 is an abundant number, since it is smaller than the sum of its proper divisors (10975018648818).

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

8482078121742 is a wasteful number, since it uses less digits than its factorization.

8482078121742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5066952325 (or 5066952319 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The spelling of 8482078121742 in words is "eight trillion, four hundred eighty-two billion, seventy-eight million, one hundred twenty-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 5066952283 10133904566 15200856849 30401713698 45602570547 91205141094 136807711641 157075520773 273615423282 314151041546 471226562319 942453124638 1413679686957 2827359373914 4241039060871 8482078121742