Search a number
-
+
823240470276 = 2234721923792
BaseRepresentation
bin10111111101011001111…
…01001010111100000100
32220200221001011221210000
423332230331022330010
5101441444030022101
61430105204201300
7113322444353100
oct13765475127404
92820831157700
10823240470276
11298152869024
12113671699230
135c828ac2733
142bbb8b6c900
15166337a2486
hexbfacf4af04

823240470276 has 405 divisors, whose sum is σ = 2649165336279. Its totient is φ = 222244059744.

The previous prime is 823240470263. The next prime is 823240470343. The reversal of 823240470276 is 672074042328.

The square root of 823240470276 is 907326.

It is a perfect power (a square), and thus also a powerful number.

823240470276 is a `hidden beast` number, since 8 + 232 + 404 + 7 + 0 + 2 + 7 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2172138255 + ... + 2172138633.

Almost surely, 2823240470276 is an apocalyptic number.

823240470276 is the 907326-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823240470276

823240470276 is an abundant number, since it is smaller than the sum of its proper divisors (1825924866003).

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

823240470276 is a wasteful number, since it uses less digits than its factorization.

823240470276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 823240470276 in words is "eight hundred twenty-three billion, two hundred forty million, four hundred seventy thousand, two hundred seventy-six".