Search a number
-
+
231419172096 = 283177
BaseRepresentation
bin1101011110000110101…
…0000101010100000000
3211010100000000000000000
43113201222011110000
512242421302001341
6254151300000000
722501532335560
oct3274152052400
9733300000000
10231419172096
118a1650a9232
1238a25990000
1318a90716378
14b2b4bccda0
15604697d8b6
hex35e1a85500

231419172096 has 324 divisors, whose sum is σ = 791887477472. Its totient is φ = 66119763456.

The previous prime is 231419172053. The next prime is 231419172097. The reversal of 231419172096 is 690271914132.

231419172096 is a `hidden beast` number, since 23 + 1 + 419 + 1 + 7 + 209 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231419172097) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33059881725 + ... + 33059881731.

Almost surely, 2231419172096 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 231419172096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395943738736).

231419172096 is an abundant number, since it is smaller than the sum of its proper divisors (560468305376).

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

231419172096 is an frugal number, since it uses more digits than its factorization.

231419172096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 231419172096 in words is "two hundred thirty-one billion, four hundred nineteen million, one hundred seventy-two thousand, ninety-six".