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675438076928 = 2101762292
BaseRepresentation
bin10011101010000110011…
…11110010010000000000
32101120102102220102111102
421311003033302100000
542031244121430203
61234143022033532
766540661632236
oct11650317622000
92346372812442
10675438076928
112404a720531a
12aaaa2a188a8
134b902917454
14249971d4956
1512882aba888
hex9d433f2400

675438076928 has 66 divisors (see below), whose sum is σ = 1429870599666. Its totient is φ = 317802184704.

The previous prime is 675438076913. The next prime is 675438077029. The reversal of 675438076928 is 829670834576.

It can be written as a sum of positive squares in 3 ways, for example, as 182117269504 + 493320807424 = 426752^2 + 702368^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 108431318 + ... + 108437546.

Almost surely, 2675438076928 is an apocalyptic number.

675438076928 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 675438076928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714935299833).

675438076928 is an abundant number, since it is smaller than the sum of its proper divisors (754432522738).

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

675438076928 is an frugal number, since it uses more digits than its factorization.

675438076928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12495 (or 6248 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 65.

The spelling of 675438076928 in words is "six hundred seventy-five billion, four hundred thirty-eight million, seventy-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2176 4352 6229 8704 12458 17408 24916 49832 99664 105893 199328 211786 398656 423572 797312 847144 1594624 1694288 3189248 3388576 6378496 6777152 13554304 27108608 38800441 54217216 77600882 108434432 155201764 310403528 620807056 659607497 1241614112 1319214994 2483228224 2638429988 4966456448 5276859976 9932912896 10553719952 19865825792 21107439904 39731651584 42214879808 84429759616 168859519232 337719038464 675438076928