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169113047040 = 2123257131071
BaseRepresentation
bin1001110101111111101…
…1000101000000000000
3121011111210000220101200
42131133323011000000
510232320420001130
6205404531301200
715134531116320
oct2353773050000
9534453026350
10169113047040
11657a19a72a3
122893774a800
1312c4127b152
148283d55280
1545eba49760
hex275fec5000

169113047040 has 312 divisors, whose sum is σ = 669933109248. Its totient is φ = 38654115840.

The previous prime is 169113047021. The next prime is 169113047099. The reversal of 169113047040 is 40740311961.

169113047040 is a `hidden beast` number, since 16 + 9 + 1 + 130 + 470 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 169113046986 and 169113047004.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1224705 + ... + 1355775.

It is an arithmetic number, because the mean of its divisors is an integer number (2147221504).

Almost surely, 2169113047040 is an apocalyptic number.

169113047040 is a gapful number since it is divisible by the number (10) 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 169113047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334966554624).

169113047040 is an abundant number, since it is smaller than the sum of its proper divisors (500820062208).

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

169113047040 is a wasteful number, since it uses less digits than its factorization.

169113047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131113 (or 131088 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 169113047040 in words is "one hundred sixty-nine billion, one hundred thirteen million, forty-seven thousand, forty".