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20205506070 = 2325437437027
BaseRepresentation
bin10010110100010101…
…111000111000010110
31221011011020001120200
4102310111320320112
5312340102143240
613140550041330
71313465652651
oct226425707026
957134201520
1020205506070
118629532852
123aba949246
131ba013c169
14d996dc898
157d3d11930
hex4b4578e16

20205506070 has 96 divisors (see below), whose sum is σ = 53836054272. Its totient is φ = 5254998336.

The previous prime is 20205506063. The next prime is 20205506093. The reversal of 20205506070 is 7060550202.

20205506070 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 5 + 50 + 607 + 0 = 666.

20205506070 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 2871897 + ... + 2878923.

It is an arithmetic number, because the mean of its divisors is an integer number (560792232).

Almost surely, 220205506070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20205506070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26918027136).

20205506070 is an abundant number, since it is smaller than the sum of its proper divisors (33630548202).

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

20205506070 is a wasteful number, since it uses less digits than its factorization.

20205506070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7826 (or 7823 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 20205506070 in words is "twenty billion, two hundred five million, five hundred six thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 743 774 1290 1486 1935 2229 3715 3870 4458 6687 7027 7430 11145 13374 14054 21081 22290 31949 33435 35135 42162 63243 63898 66870 70270 95847 105405 126486 159745 191694 210810 287541 302161 316215 319490 479235 575082 604322 632430 906483 958470 1437705 1510805 1812966 2719449 2875410 3021610 4532415 5221061 5438898 9064830 10442122 13597245 15663183 26105305 27194490 31326366 46989549 52210610 78315915 93979098 156631830 224505623 234947745 449011246 469895490 673516869 1122528115 1347033738 2020550607 2245056230 3367584345 4041101214 6735168690 10102753035 20205506070