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20533017330 = 2325727363781
BaseRepresentation
bin10011000111110111…
…001111101011110010
31221222222111100120100
4103013313033223302
5314022423023310
613233245453230
71324553524200
oct230767175362
957888440510
1020533017330
118787397911
123b90571216
131c22c501c7
14dcadd4070
15802956ec0
hex4c7dcfaf2

20533017330 has 144 divisors (see below), whose sum is σ = 62953599384. Its totient is φ = 4628897280.

The previous prime is 20533017293. The next prime is 20533017331. The reversal of 20533017330 is 3371033502.

20533017330 is a `hidden beast` number, since 20 + 5 + 3 + 301 + 7 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17078046489 + 3454970841 = 130683^2 + 58779^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20533017294 and 20533017303.

It is not an unprimeable number, because it can be changed into a prime (20533017331) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 290040 + ... + 353820.

Almost surely, 220533017330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20533017330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31476799692).

20533017330 is an abundant number, since it is smaller than the sum of its proper divisors (42420582054).

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

20533017330 is a wasteful number, since it uses less digits than its factorization.

20533017330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63881 (or 63871 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 27.

The spelling of 20533017330 in words is "twenty billion, five hundred thirty-three million, seventeen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 73 90 98 105 126 146 147 210 219 245 294 315 365 438 441 490 511 630 657 730 735 882 1022 1095 1314 1470 1533 2190 2205 2555 3066 3285 3577 4410 4599 5110 6570 7154 7665 9198 10731 15330 17885 21462 22995 32193 35770 45990 53655 63781 64386 107310 127562 160965 191343 318905 321930 382686 446467 574029 637810 892934 956715 1148058 1339401 1913430 2232335 2678802 2870145 3125269 4018203 4464670 4656013 5740290 6250538 6697005 8036406 9312026 9375807 13394010 13968039 15626345 18751614 20091015 23280065 27936078 28127421 31252690 32592091 40182030 41904117 46560130 46879035 56254842 65184182 69840195 83808234 93758070 97776273 139680390 140637105 162960455 195552546 209520585 228144637 281274210 293328819 325920910 419041170 456289274 488881365 586657638 684433911 977762730 1140723185 1368867822 1466644095 2053301733 2281446370 2933288190 3422169555 4106603466 6844339110 10266508665 20533017330