Search a number
-
+
20557230002504 = 231321932216803
BaseRepresentation
bin1001010110010010110100…
…11001000101000101001000
32200210020210201000120102122
410223021122121011011020
510143302201340040004
6111415505554550412
74221132215626436
oct453113231050510
980706721016378
1020557230002504
1166062aa457468
122380166898408
13b61700037900
14510d920bdd56
15259b19e5bcbe
hex12b25a645148

20557230002504 has 96 divisors (see below), whose sum is σ = 44056319335200. Its totient is φ = 8988582343104.

The previous prime is 20557230002489. The next prime is 20557230002531. The reversal of 20557230002504 is 40520003275502.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8164967 + ... + 10381769.

It is an arithmetic number, because the mean of its divisors is an integer number (458919993075).

Almost surely, 220557230002504 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 20557230002504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22028159667600).

20557230002504 is an abundant number, since it is smaller than the sum of its proper divisors (23499089332696).

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

20557230002504 is a wasteful number, since it uses less digits than its factorization.

20557230002504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216892 (or 2216837 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 35.

The spelling of 20557230002504 in words is "twenty trillion, five hundred fifty-seven billion, two hundred thirty million, two thousand, five hundred four".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 169 247 338 361 494 676 722 988 1352 1444 1976 2888 3211 4693 6422 6859 9386 12844 13718 18772 25688 27436 37544 54872 61009 89167 122018 178334 244036 356668 488072 713336 1159171 2216803 2318342 4433606 4636684 8867212 9273368 17734424 28818439 42119257 57636878 84238514 115273756 168477028 230547512 336954056 374639707 547550341 749279414 800265883 1095100682 1498558828 1600531766 2190201364 2997117656 3201063532 4380402728 6402127064 7118154433 10403456479 14236308866 15205051777 20806912958 28472617732 30410103554 41613825916 56945235464 60820207108 83227651832 121640414216 135244934227 197665673101 270489868454 395331346202 540979736908 790662692404 1081959473816 1581325384808 2569653750313 5139307500626 10278615001252 20557230002504