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11729279232 = 283211242073
BaseRepresentation
bin10101110110001111…
…01001100100000000
31010021102201010021100
422323013221210000
5143010143413412
65215515054400
7563443141236
oct127307514400
933242633240
1011729279232
114a79966100
122334141400
13114c048918
147d3aaa956
15489ae6edc
hex2bb1e9900

11729279232 has 162 divisors, whose sum is σ = 37173178406. Its totient is φ = 3554242560.

The previous prime is 11729279213. The next prime is 11729279267. The reversal of 11729279232 is 23297292711.

It can be written as a sum of positive squares in only one way, i.e., 6871746816 + 4857532416 = 82896^2 + 69696^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 257748 + ... + 299820.

Almost surely, 211729279232 is an apocalyptic number.

11729279232 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 11729279232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18586589203).

11729279232 is an abundant number, since it is smaller than the sum of its proper divisors (25443899174).

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

11729279232 is a wasteful number, since it uses less digits than its factorization.

11729279232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42117 (or 42089 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The spelling of 11729279232 in words is "eleven billion, seven hundred twenty-nine million, two hundred seventy-nine thousand, two hundred thirty-two".