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10068392646 = 232132311291657
BaseRepresentation
bin10010110000001111…
…10111101011000110
3221222200110100012100
421120013313223012
5131110002031041
64343024332530
7504334632264
oct113007675306
927880410170
1010068392646
1142a7388464
121b4ba74146
13c45c154b0
146b7287434
153dddbc6b6
hex2581f7ac6

10068392646 has 96 divisors (see below), whose sum is σ = 24550868160. Its totient is φ = 2958861312.

The previous prime is 10068392641. The next prime is 10068392693. The reversal of 10068392646 is 64629386001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10068392641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6075450 + ... + 6077106.

It is an arithmetic number, because the mean of its divisors is an integer number (255738210).

Almost surely, 210068392646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10068392646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12275434080).

10068392646 is an abundant number, since it is smaller than the sum of its proper divisors (14482475514).

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

10068392646 is a wasteful number, since it uses less digits than its factorization.

10068392646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 10068392646 in words is "ten billion, sixty-eight million, three hundred ninety-two thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 299 414 598 897 1129 1657 1794 2258 2691 3314 3387 4971 5382 6774 9942 10161 14677 14913 20322 21541 25967 29354 29826 38111 43082 44031 51934 64623 76222 77901 88062 114333 129246 132093 155802 193869 228666 233703 264186 337571 342999 387738 467406 495443 675142 685998 990886 1012713 1486329 1870753 2025426 2972658 3038139 3741506 4458987 5612259 6076278 8917974 11224518 16836777 24319789 33673554 43027319 48639578 72959367 86054638 129081957 145918734 218878101 258163914 387245871 437756202 559355147 774491742 1118710294 1678065441 3356130882 5034196323 10068392646