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21749199070041 = 3341123115960173
BaseRepresentation
bin1001111000111111000010…
…10010001110001101011001
32212000012111002010001011000
410330133201102032031121
510322314324430220131
6114131235532455213
74403220266551302
oct474374122161531
985005432101130
1021749199070041
116a25868969093
12253318291a509
13c19c2c86bc71
14552949bab7a9
1527ab2ea8bce6
hex13c7e148e359

21749199070041 has 32 divisors (see below), whose sum is σ = 33033729738240. Its totient is φ = 14134328323200.

The previous prime is 21749199070019. The next prime is 21749199070057. The reversal of 21749199070041 is 14007099194712.

21749199070041 is a `hidden beast` number, since 21 + 7 + 491 + 9 + 90 + 7 + 0 + 0 + 41 = 666.

It is not a de Polignac number, because 21749199070041 - 211 = 21749199067993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21749199070041.

It is not an unprimeable number, because it can be changed into a prime (21749199070541) 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 31 ways as a sum of consecutive naturals, for example, 6617370 + ... + 9342803.

It is an arithmetic number, because the mean of its divisors is an integer number (1032304054320).

Almost surely, 221749199070041 is an apocalyptic number.

It is an amenable number.

21749199070041 is a deficient number, since it is larger than the sum of its proper divisors (11284530668199).

21749199070041 is a wasteful number, since it uses less digits than its factorization.

21749199070041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15961454 (or 15961448 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 21749199070041 in words is "twenty-one trillion, seven hundred forty-nine billion, one hundred ninety-nine million, seventy thousand, forty-one".

Divisors: 1 3 9 27 41 123 369 1107 1231 3693 11079 33237 50471 151413 454239 1362717 15960173 47880519 143641557 430924671 654367093 1963101279 5889303837 17667911511 19646972963 58940918889 176822756667 530468270001 805525891483 2416577674449 7249733023347 21749199070041