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1285490414790 = 2325127117196043
BaseRepresentation
bin10010101101001101001…
…100110001010011000110
311112220002001000011011100
4102231031030301103012
5132030141021233130
62422313544520530
7161605436144601
oct22551514612306
94486061004140
101285490414790
1145619a91005a
12189178180146
13942b505866a
144630a543338
152368a1d3c60
hex12b4d3314c6

1285490414790 has 96 divisors (see below), whose sum is σ = 3371503988736. Its totient is φ = 339804279360.

The previous prime is 1285490414779. The next prime is 1285490414797. The reversal of 1285490414790 is 974140945821.

1285490414790 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 490 + 4 + 147 + 9 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1285490414797) 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 47 ways as a sum of consecutive naturals, for example, 13336509 + ... + 13432551.

It is an arithmetic number, because the mean of its divisors is an integer number (35119833216).

Almost surely, 21285490414790 is an apocalyptic number.

1285490414790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1285490414790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685751994368).

1285490414790 is an abundant number, since it is smaller than the sum of its proper divisors (2086013573946).

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

1285490414790 is a wasteful number, since it uses less digits than its factorization.

1285490414790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97354 (or 97351 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1285490414790 in words is "one trillion, two hundred eighty-five billion, four hundred ninety million, four hundred fourteen thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 381 635 762 1143 1171 1270 1905 2286 2342 3513 3810 5715 5855 7026 10539 11430 11710 17565 21078 35130 52695 96043 105390 148717 192086 288129 297434 446151 480215 576258 743585 864387 892302 960430 1338453 1440645 1487170 1728774 2230755 2676906 2881290 4321935 4461510 6692265 8643870 12197461 13384530 24394922 36592383 60987305 73184766 109777149 112466353 121974610 182961915 219554298 224932706 337399059 365923830 548885745 562331765 674798118 1012197177 1097771490 1124663530 1686995295 2024394354 3373990590 5060985885 10121971770 14283226831 28566453662 42849680493 71416134155 85699360986 128549041479 142832268310 214248402465 257098082958 428496804930 642745207395 1285490414790