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20322404324020 = 22519211177251833
BaseRepresentation
bin1001001111011101011011…
…01100001101001010110100
32122221210200022002010011101
410213232231230031022310
510130430241001332040
6111115552245415444
74165150060404211
oct447565554151264
978853608063141
1020322404324020
1165257574895a7
12234275010a584
13b4551895b0b6
14503876b0cb08
152539743dd09a
hex127badb0d2b4

20322404324020 has 72 divisors (see below), whose sum is σ = 45045637232904. Its totient is φ = 7700402045952.

The previous prime is 20322404324009. The next prime is 20322404324069. The reversal of 20322404324020 is 2042340422302.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8256910298256 + 12065494025764 = 2873484^2 + 3473542^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20322404324020.

It is a congruent number.

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, 80572024 + ... + 80823856.

It is an arithmetic number, because the mean of its divisors is an integer number (625633850457).

Almost surely, 220322404324020 is an apocalyptic number.

20322404324020 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 20322404324020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22522818616452).

20322404324020 is an abundant number, since it is smaller than the sum of its proper divisors (24723232908884).

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

20322404324020 is a wasteful number, since it uses less digits than its factorization.

20322404324020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263057 (or 263036 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 20322404324020 its reverse (2042340422302), we get a palindrome (22364744746322).

The spelling of 20322404324020 in words is "twenty trillion, three hundred twenty-two billion, four hundred four million, three hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 7220 11177 22354 44708 55885 111770 212363 223540 251833 424726 503666 849452 1007332 1061815 1259165 2123630 2518330 4034897 4247260 4784827 5036660 8069794 9569654 16139588 19139308 20174485 23924135 40348970 47848270 80697940 90911713 95696540 181823426 363646852 454558565 909117130 1818234260 2814737441 5629474882 11258949764 14073687205 28147374410 53480011379 56294748820 106960022758 213920045516 267400056895 534800113790 1016120216201 1069600227580 2032240432402 4064480864804 5080601081005 10161202162010 20322404324020