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11742835346490 = 2351795921795637
BaseRepresentation
bin1010101011100001011110…
…0001111000110000111010
31112120121022101102010201210
42222320113201320300322
53014343311322041430
640550330055023550
72321251256353053
oct252702741706072
945517271363653
1011742835346490
113818121466406
121397a0b96abb6
13672463198161
142c84db82d72a
151556d11162b0
hexaae17878c3a

11742835346490 has 32 divisors (see below), whose sum is σ = 28184375410560. Its totient is φ = 3131248250304.

The previous prime is 11742835346413. The next prime is 11742835346491. The reversal of 11742835346490 is 9464353824711.

11742835346490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11742835346490.

It is not an unprimeable number, because it can be changed into a prime (11742835346491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10359049 + ... + 11436588.

It is an arithmetic number, because the mean of its divisors is an integer number (880761731580).

It is a 1-persistent number, because it is pandigital, but 2⋅11742835346490 = 23485670692980 is not.

Almost surely, 211742835346490 is an apocalyptic number.

11742835346490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11742835346490 is an abundant number, since it is smaller than the sum of its proper divisors (16441540064070).

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

11742835346490 is a wasteful number, since it uses less digits than its factorization.

11742835346490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21813606.

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 11742835346490 in words is "eleven trillion, seven hundred forty-two billion, eight hundred thirty-five million, three hundred forty-six thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 17959 35918 53877 89795 107754 179590 269385 538770 21795637 43591274 65386911 108978185 130773822 217956370 326934555 653869110 391427844883 782855689766 1174283534649 1957139224415 2348567069298 3914278448830 5871417673245 11742835346490