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20398054144 = 281347130409
BaseRepresentation
bin10010111111110100…
…011001101100000000
31221122120112111212211
4102333310121230000
5313233400213034
613212025031504
71321324412416
oct227764315400
957576474784
1020398054144
118718195a96
123b53325594
131c00cb7630
14db71012b6
157e5b97d64
hex4bfd19b00

20398054144 has 72 divisors (see below), whose sum is σ = 44781750720. Its totient is φ = 9214107648.

The previous prime is 20398054139. The next prime is 20398054151. The reversal of 20398054144 is 44145089302.

It is a super-2 number, since 2×203980541442 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20398054097 and 20398054106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91212 + ... + 221620.

It is an arithmetic number, because the mean of its divisors is an integer number (621968760).

Almost surely, 220398054144 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 20398054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22390875360).

20398054144 is an abundant number, since it is smaller than the sum of its proper divisors (24383696576).

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

20398054144 is a wasteful number, since it uses less digits than its factorization.

20398054144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130485 (or 130471 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 20398054144 in words is "twenty billion, three hundred ninety-eight million, fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 128 188 208 256 376 416 611 752 832 1222 1504 1664 2444 3008 3328 4888 6016 9776 12032 19552 39104 78208 130409 156416 260818 521636 1043272 1695317 2086544 3390634 4173088 6129223 6781268 8346176 12258446 13562536 16692352 24516892 27125072 33384704 49033784 54250144 79679899 98067568 108500288 159359798 196135136 217000576 318719596 392270272 434001152 637439192 784540544 1274878384 1569081088 2549756768 5099513536 10199027072 20398054144