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10052333249 = 719294316047
BaseRepresentation
bin10010101110010101…
…00110111011000001
3221221120020102211212
421113022212323001
5131041344130444
64341252215505
7504051265010
oct112712467301
927846212755
1010052333249
114299309832
121b4660a595
13c427b18aa
146b50a6a77
153dc79919e
hex2572a6ec1

10052333249 has 32 divisors (see below), whose sum is σ = 12541132800. Its totient is φ = 7861734720.

The previous prime is 10052333237. The next prime is 10052333251. The reversal of 10052333249 is 94233325001.

10052333249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10052333249 - 24 = 10052333233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10052333279) 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 31 ways as a sum of consecutive naturals, for example, 1659344 + ... + 1665390.

It is an arithmetic number, because the mean of its divisors is an integer number (391910400).

Almost surely, 210052333249 is an apocalyptic number.

10052333249 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10052333249 is a deficient number, since it is larger than the sum of its proper divisors (2488799551).

10052333249 is a wasteful number, since it uses less digits than its factorization.

10052333249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6533.

The product of its (nonzero) digits is 19440, while the sum is 32.

The spelling of 10052333249 in words is "ten billion, fifty-two million, three hundred thirty-three thousand, two hundred forty-nine".

Divisors: 1 7 19 29 133 203 431 551 3017 3857 6047 8189 12499 42329 57323 87493 114893 175363 237481 804251 1227541 1662367 2606257 3331897 18243799 23323279 49518883 75581453 346632181 529070171 1436047607 10052333249