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20525224522400 = 2552134079483839
BaseRepresentation
bin1001010101010111001101…
…01101110111001010100000
32200200012012012001201112122
410222223212231313022200
510142241124434204100
6111353054042243412
74215620124553013
oct452534655671240
980605165051478
1020525224522400
1165a3776173564
122375b141b6568
13b5b69c329cc0
1450d5d759137a
15258d9523b985
hex12aae6b772a0

20525224522400 has 144 divisors (see below), whose sum is σ = 53974945382400. Its totient is φ = 7576670837760.

The previous prime is 20525224522351. The next prime is 20525224522427. The reversal of 20525224522400 is 422542252502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42179681 + ... + 42663519.

It is an arithmetic number, because the mean of its divisors is an integer number (374826009600).

Almost surely, 220525224522400 is an apocalyptic number.

20525224522400 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 20525224522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26987472691200).

20525224522400 is an abundant number, since it is smaller than the sum of its proper divisors (33449720860000).

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

20525224522400 is a wasteful number, since it uses less digits than its factorization.

20525224522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487951 (or 487938 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 35.

Adding to 20525224522400 its reverse (422542252502), we get a palindrome (20947766774902).

The spelling of 20525224522400 in words is "twenty trillion, five hundred twenty-five billion, two hundred twenty-four million, five hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 520 650 800 1040 1300 2080 2600 4079 5200 8158 10400 16316 20395 32632 40790 53027 65264 81580 101975 106054 130528 163160 203950 212108 265135 326320 407900 424216 483839 530270 652640 815800 848432 967678 1060540 1325675 1631600 1696864 1935356 2121080 2419195 2651350 3263200 3870712 4242160 4838390 5302700 6289907 7741424 8484320 9676780 10605400 12095975 12579814 15482848 19353560 21210800 24191950 25159628 31449535 38707120 42421600 48383900 50319256 62899070 77414240 96767800 100638512 125798140 157247675 193535600 201277024 251596280 314495350 387071200 503192560 628990700 1006385120 1257981400 1973579281 2515962800 3947158562 5031925600 7894317124 9867896405 15788634248 19735792810 25656530653 31577268496 39471585620 49339482025 51313061306 63154536992 78943171240 98678964050 102626122612 128282653265 157886342480 197357928100 205252245224 256565306530 315772684960 394715856200 410504490448 513130613060 641413266325 789431712400 821008980896 1026261226120 1282826532650 1578863424800 2052522452240 2565653065300 4105044904480 5131306130600 10262612261200 20525224522400