Search a number
-
+
677133417645 = 325179331253969
BaseRepresentation
bin10011101101010000100…
…10111111110010101101
32101201210120222122202100
421312220102333302231
542043232123331040
61235023143045313
766630666040446
oct11665022776255
92351716878670
10677133417645
11241197185953
12ab296740839
134bb12c22039
1424ab84262cd
151293184db30
hex9da84bfcad

677133417645 has 48 divisors (see below), whose sum is σ = 1183825281600. Its totient is φ = 358033927680.

The previous prime is 677133417643. The next prime is 677133417647. The reversal of 677133417645 is 546714331776.

It is an interprime number because it is at equal distance from previous prime (677133417643) and next prime (677133417647).

It is not a de Polignac number, because 677133417645 - 21 = 677133417643 is a prime.

It is a super-3 number, since 3×6771334176453 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 677133417591 and 677133417600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677133417641) 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, 2539221 + ... + 2793189.

It is an arithmetic number, because the mean of its divisors is an integer number (24663026700).

Almost surely, 2677133417645 is an apocalyptic number.

It is an amenable number.

677133417645 is a deficient number, since it is larger than the sum of its proper divisors (506691863955).

677133417645 is a wasteful number, since it uses less digits than its factorization.

677133417645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254490 (or 254487 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 54.

The spelling of 677133417645 in words is "six hundred seventy-seven billion, one hundred thirty-three million, four hundred seventeen thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 179 331 537 895 993 1611 1655 2685 2979 4965 8055 14895 59249 177747 253969 296245 533241 761907 888735 1269845 2285721 2666205 3809535 11428605 45460451 84063739 136381353 227302255 252191217 409144059 420318695 681906765 756573651 1260956085 2045720295 3782868255 15047409281 45142227843 75237046405 135426683529 225711139215 677133417645