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676220064 = 253134312601
BaseRepresentation
bin101000010011100…
…100110010100000
31202010102112112120
4220103210302200
52341103020224
6151033424240
722520530032
oct5023446240
91663375476
10676220064
11317788163
1216a56b080
13aa134620
1465b47c52
153e576779
hex284e4ca0

676220064 has 96 divisors (see below), whose sum is σ = 1956233664. Its totient is φ = 203212800.

The previous prime is 676220059. The next prime is 676220087. The reversal of 676220064 is 460022676.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47364 + ... + 59964.

It is an arithmetic number, because the mean of its divisors is an integer number (20377434).

Almost surely, 2676220064 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 676220064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978116832).

676220064 is an abundant number, since it is smaller than the sum of its proper divisors (1280013600).

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

676220064 is a wasteful number, since it uses less digits than its factorization.

676220064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12670 (or 12662 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 676220064 is about 26004.2316556364. The cubic root of 676220064 is about 877.7335202074.

The spelling of 676220064 in words is "six hundred seventy-six million, two hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 78 86 96 104 129 156 172 208 258 312 344 416 516 559 624 688 1032 1118 1248 1376 1677 2064 2236 3354 4128 4472 6708 8944 12601 13416 17888 25202 26832 37803 50404 53664 75606 100808 151212 163813 201616 302424 327626 403232 491439 541843 604848 655252 982878 1083686 1209696 1310504 1625529 1965756 2167372 2621008 3251058 3931512 4334744 5242016 6502116 7043959 7863024 8669488 13004232 14087918 15726048 17338976 21131877 26008464 28175836 42263754 52016928 56351672 84527508 112703344 169055016 225406688 338110032 676220064