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10342252512 = 253257016299
BaseRepresentation
bin10011010000111001…
…00011111111100000
3222200202202212022100
421220130203333200
5132140104040022
64430130210400
7514201460454
oct115034437740
928622685270
1010342252512
114427a28429
122007723a00
13c8a890157
147017b4664
15407e661ac
hex268723fe0

10342252512 has 72 divisors (see below), whose sum is σ = 29420609400. Its totient is φ = 3446265600.

The previous prime is 10342252507. The next prime is 10342252523. The reversal of 10342252512 is 21525224301.

10342252512 is a `hidden beast` number, since 103 + 4 + 22 + 525 + 12 = 666.

10342252512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1638739 + ... + 1645037.

It is an arithmetic number, because the mean of its divisors is an integer number (408619575).

Almost surely, 210342252512 is an apocalyptic number.

10342252512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10342252512 is an abundant number, since it is smaller than the sum of its proper divisors (19078356888).

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

10342252512 is a wasteful number, since it uses less digits than its factorization.

10342252512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12016 (or 12005 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10342252512 its reverse (21525224301), we get a palindrome (31867476813).

The spelling of 10342252512 in words is "ten billion, three hundred forty-two million, two hundred fifty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 5701 6299 11402 12598 17103 18897 22804 25196 34206 37794 45608 50392 51309 56691 68412 75588 91216 100784 102618 113382 136824 151176 182432 201568 205236 226764 273648 302352 410472 453528 547296 604704 820944 907056 1641888 1814112 35910599 71821198 107731797 143642396 215463594 287284792 323195391 430927188 574569584 646390782 861854376 1149139168 1292781564 1723708752 2585563128 3447417504 5171126256 10342252512