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646682136534 = 233737292715797
BaseRepresentation
bin10010110100100010100…
…00100100111111010110
32021211012101112022002000
421122101100210333112
541043401111332114
61213025350300130
764502246315310
oct11322120447726
92254171468060
10646682136534
1122a290230725
12a53b8657646
1348c9c2020c5
142342a0a87b0
1511c4d2d1e09
hex9691424fd6

646682136534 has 128 divisors (see below), whose sum is σ = 1687438725120. Its totient is φ = 179699845248.

The previous prime is 646682136437. The next prime is 646682136547. The reversal of 646682136534 is 435631286646.

646682136534 is a `hidden beast` number, since 6 + 46 + 68 + 2 + 1 + 3 + 6 + 534 = 666.

646682136534 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40929124 + ... + 40944920.

It is an arithmetic number, because the mean of its divisors is an integer number (13183115040).

Almost surely, 2646682136534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646682136534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843719362560).

646682136534 is an abundant number, since it is smaller than the sum of its proper divisors (1040756588586).

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

646682136534 is a wasteful number, since it uses less digits than its factorization.

646682136534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18779 (or 18773 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 646682136534 in words is "six hundred forty-six billion, six hundred eighty-two million, one hundred thirty-six thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 189 222 259 333 378 518 666 777 999 1554 1998 2331 2927 4662 5854 6993 8781 13986 15797 17562 20489 26343 31594 40978 47391 52686 61467 79029 94782 108299 110579 122934 142173 158058 184401 216598 221158 284346 324897 331737 368802 426519 553203 584489 649794 663474 758093 853038 974691 995211 1106406 1168978 1516186 1753467 1949382 1990422 2274279 2924073 2985633 3506934 4091423 4548558 5260401 5848146 5971266 6822837 8182846 10520802 12274269 13645674 15781203 20468511 24548538 31562406 36822807 40937022 46237819 73645614 92475638 110468421 138713457 220936842 277426914 323664733 416140371 647329466 832280742 970994199 1248421113 1710799303 1941988398 2496842226 2912982597 3421598606 5132397909 5825965194 8738947791 10264795818 11975595121 15397193727 17477895582 23951190242 30794387454 35926785363 46191581181 71853570726 92383162362 107780356089 215560712178 323341068267 646682136534