Search a number
-
+
2069475932160 = 2113257132967127
BaseRepresentation
bin11110000111010110011…
…000001011100000000000
321022211200100001212220200
4132013112120023200000
5232401241314312120
64222412031205200
7302341354120110
oct36072630134000
97284610055820
102069475932160
11728729237a3a
122950b3376800
131201c624aac0
147223da47040
1538c725bde90
hex1e1d660b800

2069475932160 has 2304 divisors, whose sum is σ = 9341285990400. Its totient is φ = 412018016256.

The previous prime is 2069475932101. The next prime is 2069475932179. The reversal of 2069475932160 is 612395749602.

2069475932160 is a `hidden beast` number, since 2 + 0 + 6 + 9 + 47 + 593 + 2 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a junction number, because it is equal to n+sod(n) for n = 2069475932097 and 2069475932106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16295086017 + ... + 16295086143.

It is an arithmetic number, because the mean of its divisors is an integer number (4054377600).

Almost surely, 22069475932160 is an apocalyptic number.

2069475932160 is a gapful number since it is divisible by the number (20) 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 2069475932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4670642995200).

2069475932160 is an abundant number, since it is smaller than the sum of its proper divisors (7271810058240).

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

2069475932160 is a wasteful number, since it uses less digits than its factorization.

2069475932160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 2069475932160 in words is "two trillion, sixty-nine billion, four hundred seventy-five million, nine hundred thirty-two thousand, one hundred sixty".