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677347728849 = 3211241132121491
BaseRepresentation
bin10011101101101010001…
…00100001110111010001
32101202100112020210110100
421312311010201313101
542044202004310344
61235100320323013
766636210461451
oct11666504416721
92352315223410
10677347728849
11241297153050
12ab336473469
134bb4844a2bc
1424ad8a91d61
1512945583569
hex9db5121dd1

677347728849 has 48 divisors (see below), whose sum is σ = 1072625830848. Its totient is φ = 408481920000.

The previous prime is 677347728821. The next prime is 677347728851. The reversal of 677347728849 is 948827743776.

677347728849 is a `hidden beast` number, since 6 + 7 + 73 + 477 + 2 + 8 + 84 + 9 = 666.

677347728849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 677347728849 - 223 = 677339340241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (677347728349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31506994 + ... + 31528484.

It is an arithmetic number, because the mean of its divisors is an integer number (22346371476).

Almost surely, 2677347728849 is an apocalyptic number.

It is an amenable number.

677347728849 is a deficient number, since it is larger than the sum of its proper divisors (395278101999).

677347728849 is a wasteful number, since it uses less digits than its factorization.

677347728849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23070 (or 23067 counting only the distinct ones).

The product of its digits is 796594176, while the sum is 72.

The spelling of 677347728849 in words is "six hundred seventy-seven billion, three hundred forty-seven million, seven hundred twenty-eight thousand, eight hundred forty-nine".

Divisors: 1 3 9 11 33 99 241 723 1321 2169 2651 3963 7953 11889 14531 21491 23859 43593 64473 130779 193419 236401 318361 709203 955083 2127609 2865249 3501971 5179331 10505913 15537993 28389611 31517739 46613979 56972641 85168833 170917923 255506499 312285721 512753769 936857163 2810571489 6841896251 20525688753 61577066259 75260858761 225782576283 677347728849