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676981972384 = 25411741296377
BaseRepresentation
bin10011101100111110100…
…01010001110110100000
32101201102001000102220121
421312133101101312200
542042424341104014
61235000133050024
766624146551204
oct11663721216640
92351361012817
10676981972384
11241119746883
12ab253a86914
134baba738363
1424aa2282b04
15129233d6124
hex9d9f451da0

676981972384 has 48 divisors (see below), whose sum is σ = 1366104599496. Its totient is φ = 330044313600.

The previous prime is 676981972369. The next prime is 676981972393. The reversal of 676981972384 is 483279189676.

It is a happy number.

676981972384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 398438688400 + 278543283984 = 631220^2 + 527772^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2136004 + ... + 2432380.

Almost surely, 2676981972384 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 676981972384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683052299748).

676981972384 is an abundant number, since it is smaller than the sum of its proper divisors (689122627112).

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

676981972384 is a wasteful number, since it uses less digits than its factorization.

676981972384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298169 (or 298161 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 70.

The spelling of 676981972384 in words is "six hundred seventy-six billion, nine hundred eighty-one million, nine hundred seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 1741 3482 6964 13928 27856 55712 71381 142762 285524 296377 571048 592754 1142096 1185508 2284192 2371016 4742032 9484064 12151457 24302914 48605828 97211656 194423312 388846624 515992357 1031984714 2063969428 4127938856 8255877712 16511755424 21155686637 42311373274 84622746548 169245493096 338490986192 676981972384