Search a number
-
+
20420246200420 = 22511467909121863
BaseRepresentation
bin1001010010010011101011…
…00001010110000001100100
32200022011020001211102101101
410221021311201112001210
510134031131011403140
6111232533120405444
74205212510545163
oct451116541260144
980264201742341
1020420246200420
1165631a5697480
1223596b7176884
13b5180c30bb11
145084b92b33da
1525629de2d99a
hex129275856064

20420246200420 has 96 divisors (see below), whose sum is σ = 46888402369536. Its totient is φ = 7408489622400.

The previous prime is 20420246200381. The next prime is 20420246200441. The reversal of 20420246200420 is 2400264202402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 933998409 + ... + 934020271.

It is an arithmetic number, because the mean of its divisors is an integer number (488420858016).

Almost surely, 220420246200420 is an apocalyptic number.

20420246200420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20420246200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23444201184768).

20420246200420 is an abundant number, since it is smaller than the sum of its proper divisors (26468156169116).

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

20420246200420 is a wasteful number, since it uses less digits than its factorization.

20420246200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31441 (or 31439 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The spelling of 20420246200420 in words is "twenty trillion, four hundred twenty billion, two hundred forty-six million, two hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 467 934 1868 2335 4670 5137 9091 9340 10274 18182 20548 21863 25685 36364 43726 45455 51370 87452 90910 100001 102740 109315 181820 200002 218630 240493 400004 437260 480986 500005 961972 1000010 1202465 2000020 2404930 4245497 4809860 8490994 10210021 16981988 20420042 21227485 40840084 42454970 46700467 51050105 84909940 93400934 102100210 112310231 186801868 198756533 204200420 224620462 233502335 397513066 449240924 467004670 561551155 795026132 934009340 993782665 1123102310 1987565330 2186321863 2246204620 3975130660 4372643726 8745287452 10931609315 21863218630 43726437260 92819300911 185638601822 371277203644 464096504555 928193009110 1021012310021 1856386018220 2042024620042 4084049240084 5105061550105 10210123100210 20420246200420