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11773079136 = 2534713193771
BaseRepresentation
bin10101111011011101…
…01110111001100000
31010101111010101110000
422331232232321200
5143102402013021
65224121540000
7564514343610
oct127556567140
933344111400
1011773079136
114aa1661675
122346944600
131158142c20
147d982ca40
1548d899b26
hex2bdbaee60

11773079136 has 960 divisors, whose sum is σ = 46718622720. Its totient is φ = 2821754880.

The previous prime is 11773079119. The next prime is 11773079137. The reversal of 11773079136 is 63197037711.

It is a junction number, because it is equal to n+sod(n) for n = 11773079091 and 11773079100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11773079137) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 165817981 + ... + 165818051.

It is an arithmetic number, because the mean of its divisors is an integer number (48665232).

Almost surely, 211773079136 is an apocalyptic number.

11773079136 is a gapful number since it is divisible by the number (16) 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 11773079136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23359311360).

11773079136 is an abundant number, since it is smaller than the sum of its proper divisors (34945543584).

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

11773079136 is a wasteful number, since it uses less digits than its factorization.

11773079136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The spelling of 11773079136 in words is "eleven billion, seven hundred seventy-three million, seventy-nine thousand, one hundred thirty-six".