Search a number
-
+
20683427328 = 29332951593
BaseRepresentation
bin10011010000110101…
…000000111000000000
31222101110111222022000
4103100311000320000
5314324424133303
613300221344000
71331361142254
oct232065007000
958343458260
1020683427328
11885428a0a3
124012a08000
131c481638c5
141002d88264
15810c67da3
hex4d0d40e00

20683427328 has 160 divisors (see below), whose sum is σ = 63336794400. Its totient is φ = 6656606208.

The previous prime is 20683427311. The next prime is 20683427329. The reversal of 20683427328 is 82372438602.

20683427328 is a `hidden beast` number, since 206 + 83 + 42 + 7 + 328 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20683427329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375100 + ... + 426692.

It is an arithmetic number, because the mean of its divisors is an integer number (395854965).

Almost surely, 220683427328 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 20683427328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31668397200).

20683427328 is an abundant number, since it is smaller than the sum of its proper divisors (42653367072).

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

20683427328 is an equidigital number, since it uses as much as digits as its factorization.

20683427328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51649 (or 51627 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 20683427328 in words is "twenty billion, six hundred eighty-three million, four hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 256 261 288 348 384 432 464 512 522 576 696 768 783 864 928 1044 1152 1392 1536 1566 1728 1856 2088 2304 2784 3132 3456 3712 4176 4608 5568 6264 6912 7424 8352 11136 12528 13824 14848 16704 22272 25056 33408 44544 50112 51593 66816 100224 103186 133632 154779 200448 206372 309558 400896 412744 464337 619116 825488 928674 1238232 1393011 1496197 1650976 1857348 2476464 2786022 2992394 3301952 3714696 4488591 4952928 5572044 5984788 6603904 7429392 8977182 9905856 11144088 11969576 13207808 13465773 14858784 17954364 19811712 22288176 23939152 26415616 26931546 29717568 35908728 39623424 40397319 44576352 47878304 53863092 59435136 71817456 79246848 80794638 89152704 95756608 107726184 118870272 143634912 161589276 178305408 191513216 215452368 237740544 287269824 323178552 356610816 383026432 430904736 574539648 646357104 713221632 766052864 861809472 1149079296 1292714208 1723618944 2298158592 2585428416 3447237888 5170856832 6894475776 10341713664 20683427328