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676881336128 = 2617240989477
BaseRepresentation
bin10011101100110010100…
…01011000011101000000
32101201011000122120220212
421312121101120131000
542042223110224003
61234542140053252
766621515266064
oct11663121303500
92351130576825
10676881336128
11241077960318
12ab226234228
134baa293108a
1424a92b67aa4
1512919657dd8
hex9d99458740

676881336128 has 84 divisors (see below), whose sum is σ = 1430349674220. Its totient is φ = 317750034432.

The previous prime is 676881336073. The next prime is 676881336137. The reversal of 676881336128 is 821633188676.

It can be written as a sum of positive squares in 6 ways, for example, as 16835581504 + 660045754624 = 129752^2 + 812432^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7520126 + ... + 7609602.

Almost surely, 2676881336128 is an apocalyptic number.

676881336128 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 676881336128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715174837110).

676881336128 is an abundant number, since it is smaller than the sum of its proper divisors (753468338092).

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

676881336128 is a wasteful number, since it uses less digits than its factorization.

676881336128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89932 (or 89905 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 59.

The spelling of 676881336128 in words is "six hundred seventy-six billion, eight hundred eighty-one million, three hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 409 544 578 818 1088 1156 1636 2312 3272 4624 6544 6953 9248 13088 13906 18496 26176 27812 55624 89477 111248 118201 178954 222496 236402 357908 444992 472804 715816 945608 1431632 1521109 1891216 2863264 3042218 3782432 5726528 6084436 7564864 12168872 24337744 25858853 36596093 48675488 51717706 73192186 97350976 103435412 146384372 206870824 292768744 413741648 585537488 622133581 827483296 1171074976 1244267162 1654966592 2342149952 2488534324 4977068648 9954137296 10576270877 19908274592 21152541754 39816549184 42305083508 84610167016 169220334032 338440668064 676881336128