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74146055064147 = 33111313795028299
BaseRepresentation
bin10000110110111101111001…
…010001100000101001010011
3100201112021221001200110222000
4100312331321101200221103
534204302110044023042
6421410121044245043
721421606236142533
oct2066757121405123
9321467831613860
1074146055064147
1121697190111180
1283960039a0783
13324ac3499c601
14144498c6574c3
15888a9808574c
hex436f79460a53

74146055064147 has 64 divisors (see below), whose sum is σ = 121065373440000. Its totient is φ = 44476301469600.

The previous prime is 74146055064101. The next prime is 74146055064163.

74146055064147 is a `hidden beast` number, since 7 + 4 + 1 + 4 + 6 + 0 + 550 + 6 + 41 + 47 = 666.

74146055064147 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 74146055064147 - 218 = 74146054802003 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 74146055064093 and 74146055064102.

It is not an unprimeable number, because it can be changed into a prime (74146055064247) 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, 12231604 + ... + 17259902.

It is an arithmetic number, because the mean of its divisors is an integer number (1891646460000).

Almost surely, 274146055064147 is an apocalyptic number.

74146055064147 is a deficient number, since it is larger than the sum of its proper divisors (46919318375853).

74146055064147 is a wasteful number, since it uses less digits than its factorization.

74146055064147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5028829 (or 5028823 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 74146055064147 in words is "seventy-four trillion, one hundred forty-six billion, fifty-five million, sixty-four thousand, one hundred forty-seven".

Divisors: 1 3 9 11 27 33 99 131 297 379 393 1137 1179 1441 3411 3537 4169 4323 10233 12507 12969 37521 38907 49649 112563 148947 446841 546139 1340523 1638417 4915251 5028299 14745753 15084897 45254691 55311289 135764073 165933867 497801601 658707169 1493404803 1905725321 1976121507 5717175963 5928364521 7245778859 17151527889 17785093563 20962978531 21737336577 51454583667 62888935593 65212009731 188666806779 195636029193 249650017051 566000420337 748950051153 2246850153459 2746150187561 6740550460377 8238450562683 24715351688049 74146055064147