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11743228032 = 27330581323
BaseRepresentation
bin10101110111111001…
…10111000010000000
31010022101221210102120
422323330313002000
5143022231244112
65221134044240
7564002535264
oct127374670200
933271853376
1011743228032
114a86823038
122338949680
131151bc0953
147d589c0a4
1548ae4ee8c
hex2bbf37080

11743228032 has 32 divisors (see below), whose sum is σ = 31192950480. Its totient is φ = 3914409216.

The previous prime is 11743228031. The next prime is 11743228171. The reversal of 11743228032 is 23082234711.

11743228032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×117432280322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11743227984 and 11743228002.

It is not an unprimeable number, because it can be changed into a prime (11743228031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15290278 + ... + 15291045.

Almost surely, 211743228032 is an apocalyptic number.

11743228032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11743228032 is an abundant number, since it is smaller than the sum of its proper divisors (19449722448).

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

11743228032 is an equidigital number, since it uses as much as digits as its factorization.

11743228032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30581340 (or 30581328 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 11743228032 in words is "eleven billion, seven hundred forty-three million, two hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 30581323 61162646 91743969 122325292 183487938 244650584 366975876 489301168 733951752 978602336 1467903504 1957204672 2935807008 3914409344 5871614016 11743228032