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643108515168 = 25378291154411
BaseRepresentation
bin10010101101111000100…
…00010010110101100000
32021110222100010112011010
421112330100102311200
541014041234441133
61211235011220520
764314554120160
oct11267420226540
92243870115133
10643108515168
11228816a9a039
12a477b8a7740
134884ca29852
14231ab6245a0
1511ade6d1263
hex95bc412d60

643108515168 has 96 divisors (see below), whose sum is σ = 1931654511360. Its totient is φ = 183523484160.

The previous prime is 643108515157. The next prime is 643108515187. The reversal of 643108515168 is 861515801346.

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

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20118 + ... + 1134293.

It is an arithmetic number, because the mean of its divisors is an integer number (20121401160).

Almost surely, 2643108515168 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 643108515168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965827255680).

643108515168 is an abundant number, since it is smaller than the sum of its proper divisors (1288545996192).

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

643108515168 is a wasteful number, since it uses less digits than its factorization.

643108515168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155260 (or 1155252 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 643108515168 in words is "six hundred forty-three billion, one hundred eight million, five hundred fifteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 829 1658 2487 3316 4974 5803 6632 9948 11606 13264 17409 19896 23212 26528 34818 39792 46424 69636 79584 92848 139272 185696 278544 557088 1154411 2308822 3463233 4617644 6926466 8080877 9235288 13852932 16161754 18470576 24242631 27705864 32323508 36941152 48485262 55411728 64647016 96970524 110823456 129294032 193941048 258588064 387882096 775764192 957006719 1914013438 2871020157 3828026876 5742040314 6699047033 7656053752 11484080628 13398094066 15312107504 20097141099 22968161256 26796188132 30624215008 40194282198 45936322512 53592376264 80388564396 91872645024 107184752528 160777128792 214369505056 321554257584 643108515168