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12426601590 = 23251310621027
BaseRepresentation
bin10111001001010111…
…01110010001110110
31012002000211202201100
423210223232101312
5200422202222330
65413025110530
7616641241104
oct134453562166
935060752640
1012426601590
1152a7546777
1224a9788446
13123065b2c0
1485c548c74
154cae3b060
hex2e4aee476

12426601590 has 48 divisors (see below), whose sum is σ = 34794487728. Its totient is φ = 3058855488.

The previous prime is 12426601507. The next prime is 12426601657. The reversal of 12426601590 is 9510662421.

12426601590 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 6 + 60 + 1 + 590 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5309344 + ... + 5311683.

It is an arithmetic number, because the mean of its divisors is an integer number (724885161).

Almost surely, 212426601590 is an apocalyptic number.

12426601590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12426601590 is an abundant number, since it is smaller than the sum of its proper divisors (22367886138).

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

12426601590 is a wasteful number, since it uses less digits than its factorization.

12426601590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10621053 (or 10621050 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12426601590 in words is "twelve billion, four hundred twenty-six million, six hundred one thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 10621027 21242054 31863081 53105135 63726162 95589243 106210270 138073351 159315405 191178486 276146702 318630810 414220053 477946215 690366755 828440106 955892430 1242660159 1380733510 2071100265 2485320318 4142200530 6213300795 12426601590