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11238386994432 = 2832132103280219
BaseRepresentation
bin1010001110001010010000…
…0100001000110100000000
31110210101020111211201122100
42203202210010020310000
52433112204032310212
635522502124110400
72236642464203103
oct243424404106400
943711214751570
1011238386994432
11364319a5241a4
1213160a9095400
13636a10588100
142abd2590673a
15147509be7bdc
hexa38a4108d00

11238386994432 has 324 divisors, whose sum is σ = 35428095786720. Its totient is φ = 3424380530688.

The previous prime is 11238386994421. The next prime is 11238386994433. The reversal of 11238386994432 is 23449968383211.

11238386994432 is a `hidden beast` number, since 1 + 1 + 2 + 38 + 3 + 86 + 9 + 94 + 432 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11238386994432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11238386994433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39965619 + ... + 40245837.

Almost surely, 211238386994432 is an apocalyptic number.

11238386994432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11238386994432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17714047893360).

11238386994432 is an abundant number, since it is smaller than the sum of its proper divisors (24189708792288).

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

11238386994432 is a wasteful number, since it uses less digits than its factorization.

11238386994432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280370 (or 280340 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 11238386994432 in words is "eleven trillion, two hundred thirty-eight billion, three hundred eighty-six million, nine hundred ninety-four thousand, four hundred thirty-two".