Search a number
-
+
10296237952 = 27711131729163
BaseRepresentation
bin10011001011011010…
…00001111110000000
3222120120012002012101
421211231001332000
5132041314103302
64421404040144
7513102402310
oct114555017600
928516162171
1010296237952
114403a59a70
121bb4233054
13c8119bac0
146d9637440
15403dc7287
hex265b41f80

10296237952 has 512 divisors, whose sum is σ = 30351283200. Its totient is φ = 3344302080.

The previous prime is 10296237943. The next prime is 10296237953. The reversal of 10296237952 is 25973269201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10296237953) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63167023 + ... + 63167185.

It is an arithmetic number, because the mean of its divisors is an integer number (59279850).

Almost surely, 210296237952 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 10296237952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15175641600).

10296237952 is an abundant number, since it is smaller than the sum of its proper divisors (20055045248).

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

10296237952 is a wasteful number, since it uses less digits than its factorization.

10296237952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 10296237952 in words is "ten billion, two hundred ninety-six million, two hundred thirty-seven thousand, nine hundred fifty-two".