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11639469312 = 28341931953
BaseRepresentation
bin10101101011100010…
…00011010100000000
31010001011201022020000
422311301003110000
5142314201004222
65202550120000
7561302566602
oct126561032400
933034638200
1011639469312
114a331a4629
12230a050000
131136562363
147c5bad172
15481ca69ac
hex2b5c43500

11639469312 has 360 divisors, whose sum is σ = 37751535360. Its totient is φ = 3553320960.

The previous prime is 11639469311. The next prime is 11639469329. The reversal of 11639469312 is 21396493611.

11639469312 is a `hidden beast` number, since 1 + 1 + 639 + 4 + 6 + 9 + 3 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11639469311) 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 39 ways as a sum of consecutive naturals, for example, 12213028 + ... + 12213980.

It is an arithmetic number, because the mean of its divisors is an integer number (104865376).

Almost surely, 211639469312 is an apocalyptic number.

11639469312 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 11639469312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18875767680).

11639469312 is an abundant number, since it is smaller than the sum of its proper divisors (26112066048).

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

11639469312 is an equidigital number, since it uses as much as digits as its factorization.

11639469312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1008 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The spelling of 11639469312 in words is "eleven billion, six hundred thirty-nine million, four hundred sixty-nine thousand, three hundred twelve".