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1284420055185 = 335167407913967
BaseRepresentation
bin10010101100001101011…
…001101011000010010001
311112210022102221020211000
4102230031121223002101
5132020443013231220
62422015431212213
7161540061221631
oct22541531530221
94483272836730
101284420055185
114557a0700043
12188b19817069
1394174385097
144624831c6c1
1523626255390
hex12b0d66b091

1284420055185 has 64 divisors (see below), whose sum is σ = 2297814220800. Its totient is φ = 680706415296.

The previous prime is 1284420055133. The next prime is 1284420055187. The reversal of 1284420055185 is 5815500244821.

1284420055185 is a `hidden beast` number, since 1 + 28 + 442 + 0 + 0 + 5 + 5 + 185 = 666.

It is not a de Polignac number, because 1284420055185 - 27 = 1284420055057 is a prime.

It is a super-2 number, since 2×12844200551852 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1284420055185.

It is not an unprimeable number, because it can be changed into a prime (1284420055187) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91954072 + ... + 91968038.

It is an arithmetic number, because the mean of its divisors is an integer number (35903347200).

Almost surely, 21284420055185 is an apocalyptic number.

1284420055185 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1284420055185 is a deficient number, since it is larger than the sum of its proper divisors (1013394165615).

1284420055185 is a wasteful number, since it uses less digits than its factorization.

1284420055185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18227 (or 18221 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 1284420055185 in words is "one trillion, two hundred eighty-four billion, four hundred twenty million, fifty-five thousand, one hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 135 167 501 835 1503 2505 4079 4509 7515 12237 13967 20395 22545 36711 41901 61185 69835 110133 125703 183555 209505 377109 550665 628515 681193 1885545 2043579 2332489 3405965 6130737 6997467 10217895 11662445 18392211 20992401 30653685 34987335 56971393 62977203 91961055 104962005 170914179 284856965 314886015 512742537 854570895 1538227611 2563712685 7691138055 9514222631 28542667893 47571113155 85628003679 142713339465 256884011037 428140018395 1284420055185