Search a number
-
+
20453004554320 = 24513171156844149
BaseRepresentation
bin1001010011010000101100…
…00100100011000001010000
32200102021210001110012222001
410221220112010203001100
510140100223131214240
6111255551445523344
74210452343140142
oct451502604430120
980367701405861
1020453004554320
116576085953628
122363b19a13554
13b5492ccac290
14509d05bc0c92
15257069cb789a
hex129a16123050

20453004554320 has 80 divisors (see below), whose sum is σ = 54223598998800. Its totient is φ = 7107650445312.

The previous prime is 20453004554299. The next prime is 20453004554321. The reversal of 20453004554320 is 2345540035402.

It can be written as a sum of positive squares in 8 ways, for example, as 2676797032464 + 17776207521856 = 1636092^2 + 4216184^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×204530045543204 (a number of 54 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20453004554320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20453004554321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 578404395 + ... + 578439754.

It is an arithmetic number, because the mean of its divisors is an integer number (677794987485).

Almost surely, 220453004554320 is an apocalyptic number.

20453004554320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20453004554320 is an abundant number, since it is smaller than the sum of its proper divisors (33770594444480).

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

20453004554320 is a wasteful number, since it uses less digits than its factorization.

20453004554320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156844192 (or 1156844186 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 37.

Adding to 20453004554320 its reverse (2345540035402), we get a palindrome (22798544589722).

The spelling of 20453004554320 in words is "twenty trillion, four hundred fifty-three billion, four million, five hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 260 272 340 442 520 680 884 1040 1105 1360 1768 2210 3536 4420 8840 17680 1156844149 2313688298 4627376596 5784220745 9254753192 11568441490 15038973937 18509506384 19666350533 23136882980 30077947874 39332701066 46273765960 60155895748 75194869685 78665402132 92547531920 98331752665 120311791496 150389739370 157330804264 196663505330 240623582992 255662556929 300779478740 314661608528 393327010660 511325113858 601558957480 786654021320 1022650227716 1203117914960 1278312784645 1573308042640 2045300455432 2556625569290 4090600910864 5113251138580 10226502277160 20453004554320