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20205266730 = 23511377920947
BaseRepresentation
bin10010110100010100…
…111110011100101010
31221011010202220021020
4102310110332130222
5312340022013410
613140540553310
71313463635115
oct226424763452
957133686236
1020205266730
118629389a50
123aba852836
131ba008723c
14d9967957c
157d3cb5a70
hex4b453e72a

20205266730 has 128 divisors (see below), whose sum is σ = 55021178880. Its totient is φ = 4705309440.

The previous prime is 20205266723. The next prime is 20205266759. The reversal of 20205266730 is 3766250202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20205266691 and 20205266700.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 954117 + ... + 975063.

It is an arithmetic number, because the mean of its divisors is an integer number (429852960).

Almost surely, 220205266730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20205266730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27510589440).

20205266730 is an abundant number, since it is smaller than the sum of its proper divisors (34815912150).

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

20205266730 is a wasteful number, since it uses less digits than its factorization.

20205266730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21084.

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 20205266730 in words is "twenty billion, two hundred five million, two hundred sixty-six thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 79 110 111 158 165 185 222 237 330 370 395 407 474 555 790 814 869 1110 1185 1221 1738 2035 2370 2442 2607 2923 4070 4345 5214 5846 6105 8690 8769 12210 13035 14615 17538 20947 26070 29230 32153 41894 43845 62841 64306 87690 96459 104735 125682 160765 192918 209470 230417 314205 321530 460834 482295 628410 691251 775039 964590 1152085 1382502 1550078 1654813 2304170 2325117 3309626 3456255 3875195 4650234 4964439 6912510 7750390 8274065 8525429 9928878 11625585 16548130 17050858 18202943 23251170 24822195 25576287 36405886 42627145 49644390 51152574 54608829 61228081 85254290 91014715 109217658 122456162 127881435 182029430 183684243 255762870 273044145 306140405 367368486 546088290 612280810 673508891 918421215 1347017782 1836842430 2020526673 3367544455 4041053346 6735088910 10102633365 20205266730