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20104410010400 = 255229866569397
BaseRepresentation
bin1001001001000111011000…
…01101111001001100100000
32122011221222220022120212222
410210203230031321030200
510113342312430313100
6110431501035010212
74143332010330362
oct444435415711440
978157886276788
1020104410010400
11645126136a231
122308452299968
13b2aab764c991
144d70b6c80d32
1524ce66335485
hex1248ec379320

20104410010400 has 72 divisors (see below), whose sum is σ = 50772301028820. Its totient is φ = 7764461788160.

The previous prime is 20104410010393. The next prime is 20104410010427. The reversal of 20104410010400 is 401001440102.

It can be written as a sum of positive squares in 6 ways, for example, as 8007564295696 + 12096845714704 = 2829764^2 + 3478052^2 .

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 11 ways as a sum of consecutive naturals, for example, 433261499 + ... + 433307898.

Almost surely, 220104410010400 is an apocalyptic number.

20104410010400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20104410010400 is an abundant number, since it is smaller than the sum of its proper divisors (30667891018420).

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

20104410010400 is a wasteful number, since it uses less digits than its factorization.

20104410010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866569446 (or 866569433 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 20104410010400 its reverse (401001440102), we get a palindrome (20505411450502).

The spelling of 20104410010400 in words is "twenty trillion, one hundred four billion, four hundred ten million, ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 145 160 200 232 290 400 464 580 725 800 928 1160 1450 2320 2900 4640 5800 11600 23200 866569397 1733138794 3466277588 4332846985 6932555176 8665693970 13865110352 17331387940 21664234925 25130512513 27730220704 34662775880 43328469850 50261025026 69325551760 86656939700 100522050052 125652562565 138651103520 173313879400 201044100104 251305125130 346627758800 402088200208 502610250260 628262812825 693255517600 804176400416 1005220500520 1256525625650 2010441001040 2513051251300 4020882002080 5026102502600 10052205005200 20104410010400