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634346905068 = 2232831731227157
BaseRepresentation
bin10010011101100100000…
…01011001110111101100
32020122100201121121121100
421032302001121313230
540343120301430233
61203225343403100
763554464504332
oct11166201316754
92218321547540
10634346905068
11225030321758
12a2b355b3490
1347a84785586
14229b9b45b52
151177a3e3813
hex93b2059dec

634346905068 has 72 divisors (see below), whose sum is σ = 1632188860848. Its totient is φ = 207693698688.

The previous prime is 634346905057. The next prime is 634346905103. The reversal of 634346905068 is 860509643436.

634346905068 is a `hidden beast` number, since 6 + 3 + 4 + 3 + 46 + 90 + 506 + 8 = 666.

634346905068 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96655 + ... + 1130502.

It is an arithmetic number, because the mean of its divisors is an integer number (22669289734).

Almost surely, 2634346905068 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 634346905068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816094430424).

634346905068 is an abundant number, since it is smaller than the sum of its proper divisors (997841955780).

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

634346905068 is a wasteful number, since it uses less digits than its factorization.

634346905068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227423 (or 1227418 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 634346905068 in words is "six hundred thirty-four billion, three hundred forty-six million, nine hundred five thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 173 249 332 346 498 519 692 747 996 1038 1494 1557 2076 2988 3114 6228 14359 28718 43077 57436 86154 129231 172308 258462 516924 1227157 2454314 3681471 4908628 7362942 11044413 14725884 22088826 44177652 101854031 203708062 212298161 305562093 407416124 424596322 611124186 636894483 849192644 916686279 1222248372 1273788966 1833372558 1910683449 2547577932 3666745116 3821366898 7642733796 17620747363 35241494726 52862242089 70482989452 105724484178 158586726267 211448968356 317173452534 634346905068