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20284620020 = 22571947162251
BaseRepresentation
bin10010111001000011…
…101011110011110100
31221100200002110111222
4102321003223303310
5313020330320040
613152453445512
71315446265610
oct227103536364
957320073458
1020284620020
11866a159285
123b21340898
131bb364c152
14da6014340
157dac3cbb5
hex4b90ebcf4

20284620020 has 96 divisors (see below), whose sum is σ = 52336005120. Its totient is φ = 6448464000.

The previous prime is 20284620019. The next prime is 20284620061. The reversal of 20284620020 is 2002648202.

It is a super-2 number, since 2×202846200202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43895 + ... + 206145.

It is an arithmetic number, because the mean of its divisors is an integer number (545166720).

Almost surely, 220284620020 is an apocalyptic number.

20284620020 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 20284620020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26168002560).

20284620020 is an abundant number, since it is smaller than the sum of its proper divisors (32051385100).

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

20284620020 is a wasteful number, since it uses less digits than its factorization.

20284620020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162333 (or 162331 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The spelling of 20284620020 in words is "twenty billion, two hundred eighty-four million, six hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 47 70 76 94 95 133 140 188 190 235 266 329 380 470 532 658 665 893 940 1316 1330 1645 1786 2660 3290 3572 4465 6251 6580 8930 12502 17860 25004 31255 62510 125020 162251 324502 649004 811255 1135757 1622510 2271514 3082769 3245020 4543028 5678785 6165538 7625797 11357570 12331076 15251594 15413845 21579383 22715140 30503188 30827690 38128985 43158766 53380579 61655380 76257970 86317532 106761158 107896915 144890143 152515940 213522316 215793830 266902895 289780286 431587660 533805790 579560572 724450715 1014231001 1067611580 1448901430 2028462002 2897802860 4056924004 5071155005 10142310010 20284620020