Search a number
-
+
201173628096 = 26327415322961
BaseRepresentation
bin1011101101011011100…
…0011111010011000000
3201020021010200011120200
42323112320133103000
511244000422044341
6232230133005200
720351161424160
oct2732670372300
9636233604520
10201173628096
11783542a5381
1232ba4783800
1315c8050bb7c
149a45d085a0
155376500db6
hex2ed6e1f4c0

201173628096 has 336 divisors, whose sum is σ = 687843793728. Its totient is φ = 55015833600.

The previous prime is 201173628023. The next prime is 201173628101. The reversal of 201173628096 is 690826371102.

201173628096 is a `hidden beast` number, since 2 + 0 + 1 + 17 + 3 + 628 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8750056 + ... + 8773016.

It is an arithmetic number, because the mean of its divisors is an integer number (2047154148).

Almost surely, 2201173628096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201173628096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343921896864).

201173628096 is an abundant number, since it is smaller than the sum of its proper divisors (486670165632).

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

201173628096 is a wasteful number, since it uses less digits than its factorization.

201173628096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23080 (or 23067 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

Adding to 201173628096 its reverse (690826371102), we get a palindrome (891999999198).

The spelling of 201173628096 in words is "two hundred one billion, one hundred seventy-three million, six hundred twenty-eight thousand, ninety-six".