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2402055200205 = 3351103138111681
BaseRepresentation
bin100010111101000101101…
…001011001110111001101
322111122010100122012122000
4202331011221121313031
5303323402112401310
65035253335142513
7335354111214303
oct42750551316715
98448110565560
102402055200205
118467845a2551
1232964b514a39
131456889060bb
148438d99a273
154273a03e4c0
hex22f45a59dcd

2402055200205 has 64 divisors (see below), whose sum is σ = 4277653079040. Its totient is φ = 1278898329600.

The previous prime is 2402055200201. The next prime is 2402055200213. The reversal of 2402055200205 is 5020025502042.

2402055200205 is a `hidden beast` number, since 2 + 402 + 0 + 5 + 52 + 0 + 0 + 205 = 666.

It is not a de Polignac number, because 2402055200205 - 22 = 2402055200201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2402055200201) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 205631965 + ... + 205643645.

It is an arithmetic number, because the mean of its divisors is an integer number (66838329360).

Almost surely, 22402055200205 is an apocalyptic number.

It is an amenable number.

2402055200205 is a deficient number, since it is larger than the sum of its proper divisors (1875597878835).

2402055200205 is a wasteful number, since it uses less digits than its factorization.

2402055200205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14179 (or 14173 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The spelling of 2402055200205 in words is "two trillion, four hundred two billion, fifty-five million, two hundred thousand, two hundred five".

Divisors: 1 3 5 9 15 27 45 135 1103 1381 3309 4143 5515 6905 9927 11681 12429 16545 20715 29781 35043 37287 49635 58405 62145 105129 148905 175215 186435 315387 525645 1523243 1576935 4569729 7616215 12884143 13709187 16131461 22848645 38652429 41127561 48394383 64420715 68545935 80657305 115957287 145183149 193262145 205637805 241971915 347871861 435549447 579786435 725915745 1739359305 2177747235 17793001483 53379004449 88965007415 160137013347 266895022245 480411040041 800685066735 2402055200205