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11682142438740 = 2235968512010329
BaseRepresentation
bin1010100111111111010111…
…1100110100010101010100
31112100210122120222222020120
42221333311330310111110
53012400011431014430
640502411355231540
72314002244223124
oct251776574642524
945323576888216
1011682142438740
1137a4406943514
1213880b1a485b0
13669810012aa7
142c55c0d2ac84
15153d2cb42610
hexa9ff5f34554

11682142438740 has 48 divisors (see below), whose sum is σ = 32710352834880. Its totient is φ = 3115204268800.

The previous prime is 11682142438597. The next prime is 11682142438753. The reversal of 11682142438740 is 4783424128611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4805896 + ... + 6816224.

It is an arithmetic number, because the mean of its divisors is an integer number (681465684060).

Almost surely, 211682142438740 is an apocalyptic number.

11682142438740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11682142438740 is an abundant number, since it is smaller than the sum of its proper divisors (21028210396140).

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

11682142438740 is a wasteful number, since it uses less digits than its factorization.

11682142438740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107192 (or 2107190 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 11682142438740 in words is "eleven trillion, six hundred eighty-two billion, one hundred forty-two million, four hundred thirty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 96851 193702 290553 387404 484255 581106 968510 1162212 1452765 1937020 2010329 2905530 4020658 5811060 6030987 8041316 10051645 12061974 20103290 24123948 30154935 40206580 60309870 120619740 194702373979 389404747958 584107121937 778809495916 973511869895 1168214243874 1947023739790 2336428487748 2920535609685 3894047479580 5841071219370 11682142438740