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11886269520 = 243549526123
BaseRepresentation
bin10110001000111101…
…00001010001010000
31010200101010001110110
423010132201101100
5143320341111040
65243244001320
7600360423666
oct130436412120
933611101413
1011886269520
11504a542244
122378830240
131175724498
1480a894c36
154987a7980
hex2c47a1450

11886269520 has 40 divisors (see below), whose sum is σ = 36847436256. Its totient is φ = 3169671808.

The previous prime is 11886269501. The next prime is 11886269579. The reversal of 11886269520 is 2596268811.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11886269520.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 24762822 + ... + 24763301.

Almost surely, 211886269520 is an apocalyptic number.

11886269520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11886269520 is an abundant number, since it is smaller than the sum of its proper divisors (24961166736).

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

11886269520 is a wasteful number, since it uses less digits than its factorization.

11886269520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49526139 (or 49526133 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 11886269520 in words is "eleven billion, eight hundred eighty-six million, two hundred sixty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 49526123 99052246 148578369 198104492 247630615 297156738 396208984 495261230 594313476 742891845 792417968 990522460 1188626952 1485783690 1981044920 2377253904 2971567380 3962089840 5943134760 11886269520