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10395830952 = 23341367113163
BaseRepresentation
bin10011010111010001…
…11100101010101000
3222211111120221010000
421223220330222220
5132242313042302
64435322423000
7515422051023
oct115350745250
928744527100
1010395830952
1144551a2731
122021661a60
13c989cc280
147089601ba
1540c9eb31c
hex26ba3caa8

10395830952 has 320 divisors, whose sum is σ = 32304444480. Its totient is φ = 3103930368.

The previous prime is 10395830933. The next prime is 10395830953. The reversal of 10395830952 is 25903859301.

10395830952 is a `hidden beast` number, since 10 + 3 + 9 + 583 + 0 + 9 + 52 = 666.

10395830952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103958309522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10395830898 and 10395830907.

It is not an unprimeable number, because it can be changed into a prime (10395830953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63778023 + ... + 63778185.

It is an arithmetic number, because the mean of its divisors is an integer number (100951389).

Almost surely, 210395830952 is an apocalyptic number.

10395830952 is a gapful number since it is divisible by the number (12) 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 10395830952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16152222240).

10395830952 is an abundant number, since it is smaller than the sum of its proper divisors (21908613528).

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

10395830952 is a wasteful number, since it uses less digits than its factorization.

10395830952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 10395830952 in words is "ten billion, three hundred ninety-five million, eight hundred thirty thousand, nine hundred fifty-two".