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677386683776 = 27112347126041
BaseRepresentation
bin10011101101101110110…
…01001000010110000000
32101202110020112220120102
421312313121020112000
542044241442340101
61235104231301532
766640162544615
oct11666731102600
92352406486512
10677386683776
1124130713a500
12ab34751a8a8
134bb5353925a
1424addd1250c
1512948bca86b
hex9db7648580

677386683776 has 96 divisors (see below), whose sum is σ = 1487600621640. Its totient is φ = 307013273600.

The previous prime is 677386683731. The next prime is 677386683821.

677386683776 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (677386683731) and next prime (677386683821).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5311316 + ... + 5437356.

Almost surely, 2677386683776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677386683776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743800310820).

677386683776 is an abundant number, since it is smaller than the sum of its proper divisors (810213937864).

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

677386683776 is a wasteful number, since it uses less digits than its factorization.

677386683776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126424 (or 126401 counting only the distinct ones).

The product of its digits is 1792336896, while the sum is 74.

The spelling of 677386683776 in words is "six hundred seventy-seven billion, three hundred eighty-six million, six hundred eighty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 347 352 484 694 704 968 1388 1408 1936 2776 3817 3872 5552 7634 7744 11104 15268 15488 22208 30536 41987 44416 61072 83974 122144 126041 167948 244288 252082 335896 488576 504164 671792 1008328 1343584 1386451 2016656 2687168 2772902 4033312 5374336 5545804 8066624 11091608 15250961 16133248 22183216 30501922 43736227 44366432 61003844 87472454 88732864 122007688 174944908 177465728 244015376 349889816 481098497 488030752 699779632 962196994 976061504 1399559264 1924393988 1952123008 2799118528 3848787976 5292083467 5598237056 7697575952 10584166934 15395151904 21168333868 30790303808 42336667736 61580607616 84673335472 169346670944 338693341888 677386683776