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11788749312 = 2939378191
BaseRepresentation
bin10101111101010101…
…00000101000000000
31010102120121111212220
422332222200220000
5143120404434222
65225441451040
7565064500344
oct127652405000
933376544786
1011788749312
114aaa49492a
122350040a80
13115b46b612
147db94b624
1548ee42b5c
hex2beaa0a00

11788749312 has 80 divisors (see below), whose sum is σ = 31443320832. Its totient is φ = 3924910080.

The previous prime is 11788749307. The next prime is 11788749353. The reversal of 11788749312 is 21394788711.

It is a super-2 number, since 2×117887493122 (a number of 21 digits) contains 22 as substring.

It is a zygodrome in base 4.

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, 1435137 + ... + 1443327.

Almost surely, 211788749312 is an apocalyptic number.

11788749312 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 11788749312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15721660416).

11788749312 is an abundant number, since it is smaller than the sum of its proper divisors (19654571520).

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

11788749312 is an frugal number, since it uses more digits than its factorization.

11788749312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9149 (or 9133 counting only the distinct ones).

The product of its digits is 677376, while the sum is 51.

The spelling of 11788749312 in words is "eleven billion, seven hundred eighty-eight million, seven hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 937 1536 1874 2811 3748 5622 7496 8191 11244 14992 16382 22488 24573 29984 32764 44976 49146 59968 65528 89952 98292 119936 131056 179904 196584 239872 262112 359808 393168 479744 524224 719616 786336 1048448 1439232 1572672 2096896 3145344 4193792 6290688 7674967 12581376 15349934 23024901 30699868 46049802 61399736 92099604 122799472 184199208 245598944 368398416 491197888 736796832 982395776 1473593664 1964791552 2947187328 3929583104 5894374656 11788749312