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20204444400200 = 23524611034321187
BaseRepresentation
bin1001001100000001101101…
…01110110011101001001000
32122112112012110200010001222
410212000312232303221020
510122012200231301300
6110545443231101212
74153502652526604
oct446006656635110
978475173603058
1020204444400200
11648a725153955
12232390b671808
13b3736a3104c8
144dbc866d4504
1525086d5b4785
hex126036bb3a48

20204444400200 has 96 divisors (see below), whose sum is σ = 47084005805760. Its totient is φ = 8063086521600.

The previous prime is 20204444400199. The next prime is 20204444400209. The reversal of 20204444400200 is 200444440202.

It is a self number, because there is not a number n which added to its sum of digits gives 20204444400200.

It is not an unprimeable number, because it can be changed into a prime (20204444400209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 953614007 + ... + 953635193.

It is an arithmetic number, because the mean of its divisors is an integer number (490458393810).

Almost surely, 220204444400200 is an apocalyptic number.

20204444400200 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 20204444400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23542002902880).

20204444400200 is an abundant number, since it is smaller than the sum of its proper divisors (26879561405560).

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

20204444400200 is a wasteful number, since it uses less digits than its factorization.

20204444400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32007 (or 31998 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 20204444400200 its reverse (200444440202), we get a palindrome (20404888840402).

The spelling of 20204444400200 in words is "twenty trillion, two hundred four billion, four hundred forty-four million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 461 922 1844 2305 3688 4610 9220 10343 11525 18440 20686 21187 23050 41372 42374 46100 51715 82744 84748 92200 103430 105935 169496 206860 211870 258575 413720 423740 517150 529675 847480 1034300 1059350 2068600 2118700 4237400 4768123 9536246 9767207 19072492 19534414 23840615 38144984 39068828 47681230 48836035 78137656 95362460 97672070 119203075 190724920 195344140 219137141 238406150 244180175 390688280 438274282 476812300 488360350 876548564 953624600 976720700 1095685705 1753097128 1953441400 2191371410 4382742820 5478428525 8765485640 10956857050 21913714100 43827428200 101022222001 202044444002 404088888004 505111110005 808177776008 1010222220010 2020444440020 2525555550025 4040888880040 5051111100050 10102222200100 20204444400200