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4406799355245 = 3357171627168599
BaseRepresentation
bin100000000100000100110…
…1101011100110101101101
3120121021201102110002212000
41000020021231130311231
51034200111113331440
613212242232002513
7633244411322220
oct100101155346555
916537642402760
104406799355245
111449a05395221
125b2098230439
1325c736cbb0b1
1411340c54d5b7
157996e787730
hex40209b5cd6d

4406799355245 has 128 divisors (see below), whose sum is σ = 9486056448000. Its totient is φ = 1894858085376.

The previous prime is 4406799355243. The next prime is 4406799355289. The reversal of 4406799355245 is 5425539976044.

It is a happy number.

4406799355245 is a `hidden beast` number, since 4 + 4 + 0 + 6 + 79 + 9 + 3 + 552 + 4 + 5 = 666.

It is not a de Polignac number, because 4406799355245 - 21 = 4406799355243 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4406799355243) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 26053456 + ... + 26222054.

It is an arithmetic number, because the mean of its divisors is an integer number (74109816000).

Almost surely, 24406799355245 is an apocalyptic number.

4406799355245 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4406799355245 is an abundant number, since it is smaller than the sum of its proper divisors (5079257092755).

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

4406799355245 is a wasteful number, since it uses less digits than its factorization.

4406799355245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170264 (or 170258 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 63.

The spelling of 4406799355245 in words is "four trillion, four hundred six billion, seven hundred ninety-nine million, three hundred fifty-five thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 85 105 119 135 153 189 255 315 357 459 595 765 945 1071 1627 1785 2295 3213 4881 5355 8135 11389 14643 16065 24405 27659 34167 43929 56945 73215 82977 102501 138295 168599 170835 193613 219645 248931 307503 414885 505797 512505 580839 746793 842995 968065 1180193 1244655 1517391 1537515 1742517 2528985 2866183 2904195 3540579 3733965 4552173 5227551 5900965 7586955 8598549 8712585 10621737 14330915 17702895 20063281 22760865 25795647 26137755 31865211 42992745 53108685 60189843 77386941 100316405 128978235 159326055 180569529 274310573 300949215 386934705 541708587 822931719 902847645 1371552865 1920174011 2468795157 2708542935 4114658595 4663279741 5760522033 7406385471 9600870055 12343975785 13989839223 17281566099 23316398705 28802610165 32642958187 37031927355 41969517669 51844698297 69949196115 86407830495 97928874561 125908553007 163214790935 209847588345 259223491485 293786623683 489644372805 629542765035 881359871049 1468933118415 4406799355245